We add exponents when we have the same numbers repeating more than once.

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Last updated on November 30th, 2024

LCM of 15 and 60

Q: What is the LCM of 5,15 and 60?

Solution: 5=5 15=3x5 60= 2×2×3×5 LCM(5,15,60)= 4×3×5 =60 The LCM of 5,15 and 60 is 60

Q: What is the GCD of two zeros?

The common divisor of the two integers a and b, which cannot be both zeros, is the largest integer that divides both a and b.

Q: What is relatively prime no?

Two numbers are relatively prime or co-prime when there are no common factors except one.

Q: What is a tree method?

The tree method is the method of factorizing a number in which we split factors. In which we write methods in branches.

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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

LCM of 15 and 60 Examples

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Problem 1

What is the LCM of 15 and 60 using the prime factorization method?

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Explanation

Problem 2

Solve the following expression using LCM of 15 and 60: 2/15 + 5/60

Explanation

Problem 3

If LCM(15,60) =60 and GCD(15,60)=15, verify the relation: LCM(a, b) x GCD(a, b)=a × b

Explanation

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?

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.