189 LearnersLast updated on May 26th, 2025
LCM of 15 and 60
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 15 and 60
The LCM of 15 and 60 is the lowest number that divides both 15 and 60 without leaving any remainder. The LCM of 15 and 60 is 60.
How to find the LCM of 15 and 60?
The LCM of 15 and 60 can be found by the following methods like division method, listing multiples, prime factorization.
LCM of 15 and 60 using Division method:
In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.
2 divides 60 and not 15 leaving 30,15
3 divides 30 and 15 leaving 10,5
5 divides 5 and 10 leaving 1,2
2 divides 2 leaving 1.
LCM = 2 × 2 × 3 × 5= 60.
LCM of 15 and 60 using Listing multiples:
We write the multiples of both numbers till we find the common one.
Multiples of 15: 15, 30, 45, 60, 75, 90,….
Multiples of 60: 60, 120, 180…
The common multiple is 60. So, the LCM of 15 and 60 is 60.
LCM of 15 and 60 using prime factorization:
We part each number into divisors and select the highest powers of all the prime factors.
15= 3 × 5
60 = 2 × 2 × 3 × 5
LCM = 22 × 3 × 5= 60.
Common Mistakes and How to Avoid Them in LCM of 15 and 60
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.
LCM of 15 and 60 Examples
Problem 1
What is the LCM of 15 and 60 using the prime factorization method?
Answer: 60
Explanation
15 = 3x5
60= 2×2×3×5
LCM= 2×2×3×5=60.
Problem 2
Solve the following expression using LCM of 15 and 60: 2/15 + 5/60
Answer: 13/60
Explanation
LCM(15,60)=60
2/15 = 2x 4/15 x 4 , 5/60=5/60
Add the fractions:
8/60 + 5/60 = 13/60
Problem 3
If LCM(15,60) =60 and GCD(15,60)=15, verify the relation: LCM(a, b) x GCD(a, b)=a × b
LCM(a, b) x GCD(a, b)=a × b
60 × 15= 15x 60=900
Explanation
The relation is true.
FAQ’s on LCM of 15 and 60
1.What is the LCM of 5,15 and 60?
2.What is the GCD of two zeros?
3.What is relatively prime no?
4.What are exponents?
5.What is a tree method?
6.How can children in Qatar use numbers in everyday life to understand LCM of 15 and 60?
7.What are some fun ways kids in Qatar can practice LCM of 15 and 60 with numbers?
8.What role do numbers and LCM of 15 and 60 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve LCM of 15 and 60 skills?
Important glossaries for LCM of 15 and 60
- 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
: She loves to read number jokes and games.
