163 LearnersLast updated on May 26th, 2025
LCM of 3 and 18
The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.
What is the LCM of 3 and 18
The LCM of 3 and 18 is the lowest number that divides both 3 and 18 without leaving any remainder. The LCM of 3 and 18 is 18.
How to find the LCM of 3 and 18?
The LCM of 3 and 18 can be found by the following methods like division method, listing multiples, prime factorization.
LCM of 3 and 18 using Division method:
In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.
3 divides 3 and 18, leaving 1 and 6
3 divides 6 leaving 2
2 divides 2 leaving 1
LCM = 2 × 3 × 3= 18.
LCM of 3 and 18 using Listing multiples:
We write the multiples of both numbers till we find the common one.
Multiples of 3: 3, 6, 9, 12, 15, 18, 21…
Multiples of 18: 18, 36, 54…
The common multiple is 18. So, the LCM of 3 and 18 is 18.
LCM of 3 and 18 using prime factorization:
We part each number into divisors and select the highest powers of all the prime factors.
3= 3
18= 2 × 3 × 3
LCM = 2 × 3 × 3= 18.
Common Mistakes and How to Avoid Them in LCM of 3 and 18
While solving problems on LCM children are likely to make common mistakes, here are a few mistakes and how to avoid them.
Mistake 1
Not including the prime factors with the right ones
Children sometimes get confused and do not include the prime factors, instead of writing 9=3×3 they write 9=3×1. Students should always break numbers into prime numbers.
Examples of LCM of 3 and 18
Problem 1
If the LCM of 3 and a number x is 18, what is the value of x?
LCM(3,x) = 18
Using the formula: LCM(a, b) x GCF(a, b) = a × b
Here, a =3 , b =18
GCF(3,x)=3
18 × 3 = 3 x x
54=3x
x=18
Explanation
The value of x is 18. Since the LCM of 3 and 18 is indeed 18, this verifies the solution.
Problem 2
Solve the following expression using LCM of 3 and 18: 5/3 + 1/18
LCM(3,18)=18
5/3 = 30/18 , 1/18=1/18
Add the fractions:
30/18 + 1/18 = 31/18
Explanation
The sum of 5/3​ and 1/18​ is 31/18​, with, 18 as the common denominator.
Problem 3
Verify the prime factorization of LCM(3,10) using their prime factors.
Prime factors of 3 =3 ,
Prime factors of 10= 2 × 5
LCM= 2 × 3 × 5= 30
Explanation
The LCM of 3 and 10 is 30, which is verified through the prime factorization.
Problem 4
Simplify the expression: x/3 + 2/18 = 1
LCM (3,18) =18
6x18 + 218 =1
6x + 2 = 18
6x= 18–2
6x = 16
x=8/3
Explanation
The value of x is 8/3. This simplifies the original expression correctly using the LCM of 3 and 18.
FAQs on LCM of 3 and 18
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5.How can children in United States use numbers in everyday life to understand LCM of 3 and 18?
6.What are some fun ways kids in United States can practice LCM of 3 and 18 with numbers?
7.What role do numbers and LCM of 3 and 18 play in helping children in United States develop problem-solving skills?
8.How can families in United States create number-rich environments to improve LCM of 3 and 18 skills?
Important glossaries for LCM of 3 and 18
- Co-prime: two numbers that have only one number that is 1 as their common factor. For example, 8 and 15 are co prime numbers.
- Even Number: A natural number is divisible by 2. For example, 2,4,68,10 etc.
- Prime Factorization: The process of parting down a number into its prime factors is called Prime Factorization. For example, prime factorization of 24 = 2 × 2 × 2 × 3.
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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.
Fun Fact
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