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Last updated on May 26th, 2025

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LCM of 2,5 and 7

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The meaning of least common factor (LCM) is to find the smallest number that divides any two integers evenly. LCM is used mainly in fractions to find a common number for both the integers. We use LCM for solving problems, lining up cycles or even synchronizing of events, also to schedule tasks in everyday life.

LCM of 2,5 and 7 for Qatari Students
Professor Greenline from BrightChamps

What is the LCM of 2,5 and 7?

We use LCM of 2,5 and 7 to find  the smallest number that divides both the numbers equally.  The smallest positive number is the number that divides both numbers equally, is 70 without leaving any remainder. LCM is used mainly in fractions to find a common number for both the integers.

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How to find the LCM of 2,5 and 7?

The LCM of 2,5 and 7 can be found by the following methods like division method, listing multiples, prime factorization.
 

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LCM of 2,5 and 7 using Division method:

In division method, we divide both the numbers, we begin with dividing side by side the smallest number. We continue dividing until we get a common number that divides both the numbers equally. It makes it easier for the children to focus on prime factors and identify them.

 

  • 2 divides 2, not 5 and 7

 

  • 5 divides 5,not 2 and 7

 

  • 7 divides 7, not 2 and 5.

 

Now multiply the divisors : 2×5×7=70 which is the LCM.
 

Professor Greenline from BrightChamps

LCM of 2,5 and 7 using Listing multiples:

Step 1: Start by listing multiples of both the numbers separately:


Multiples of 2 are 2,4,6,8,10,12,14,16,18,20…..70


Multiples of 5 are 5,10,15,20,25,30,35,40,45,50…..70


Multiples of 7 are 7,14,21,28,35,42,49,56,63,70

 

Step 2: The least common factor from the list is 70. Therefore, the LCM of 2,5 and 7 is 70.

Professor Greenline from BrightChamps

LCM of 2,5 and 7 using Prime factorization:

Step 1:We part the numbers into factors:


Factor of 2: 2


Factors of 5: 5


Factors of 7:7

 

Step 2:Take the powers of both the numbers and multiply together:


LCM=2x5x7=70.

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Common Mistakes and How to Avoid Them in LCM of 2,5 and 7

Common Mistakes and How to Avoid Them in LCM of 2,5 and 7

Mistake 1

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 Stopping the division method way too soon.
 

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Students sometimes stop dividing very soon, when they are not able to divide both the numbers with the same number. For example, we can divide14 by 2, but 15 isn't divisible by 2. To continue the dividing method until all the factors are found. The students should continue dividing until they find the common number that divides both the integers.
 

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LCM of 2,5 and 7 Examples

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Problem 1

If the LCM of 24 and x is 72, what is the possible value of x?

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Answer : x =9

Explanation

 72= 24  x x / GCD(24,x).


24= 2×2×2×3, so x should contain missing factor 3.


x= 3×3=9.
 

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Problem 2

If the LCM of 12 and a number x is 48, find the possible values of x.

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Answer:  x=4.

Explanation

LCM (12,x)=48


12=2x2x3


Factors 0f 48=2×2×2×2x3


Missing factor : 22=4


So x=4.
 

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Problem 3

Verify if LCM (15,20) x GCD (15,20)

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LCM(15,20) x GCD(15,20) = 300

Explanation

LCM(15,20)=60

 

GCD(15,20)=5


60 × 5=300
 

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Problem 4

Find the LCM of 24, 36, and 60 using prime factorization.

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LCM of 24,36 and 60 = 360 
 

Explanation

LCM of 24,36 and 60


Prime factors of 24: 23×3


Prime factors of 36: 22×32


Prime factors of 60=22 × 3 × 5


LCM =23 × 32 × 5 =360 
 

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Problem 5

The LCM of x and 28 is 84. What is x?

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Answer: x=3.

Explanation

 Factors of 28: 22 × 7


Factors of 84: 2x2×3x7.


X should include the missing factor 3, so x=3.
 

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FAQs on LCM of 2,5 and 7

1. What is the LCM of 5 and 7?

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2.Why should we need GCF?

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3.How do you find an LCD?

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4.Which fraction is equivalent?

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5.In mathematics, what is reciprocal?

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6.How can children in Qatar use numbers in everyday life to understand LCM of 2,5 and 7?

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7.What are some fun ways kids in Qatar can practice LCM of 2,5 and 7 with numbers?

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8.What role do numbers and LCM of 2,5 and 7 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve LCM of 2,5 and 7 skills?

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Important glossaries on the LCM of 2,5 and 7

  • Prime Factor: A natural number or whole number which has factors that are 1 and itself. For Example, 3 is a prime number.

 

  • Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. For example, the factorization of 14 is 2×7.

 

  • Co-prime numbers: numbers which have the only positive divisor of them both as 1. For example, 6 and 7.
     
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, numbers represent more than digits—they unlock countless opportunities! Our goal is to help children throughout Qatar master important math skills, focusing on the LCM of 2,5 and 7 with special attention on understanding the LCM—in a lively, fun, and easy way. Whether your child is calculating how fast a roller coaster moves at Qatar’s Angry Birds World, keeping score at local football matches, or managing their allowance to buy gadgets, mastering numbers builds confidence for daily challenges. Our interactive lessons make learning enjoyable and simple. Because children in Qatar learn in many different ways, we adapt our approach to suit each learner. From Doha’s modern cityscape to desert landscapes, BrightChamps makes math come alive. Let’s make the LCM a fun part of every child’s learning!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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