LCM that 15 and also 60 is the the smallest number among all usual multiples the 15 and 60. The first few multiples that 15 and also 60 are (15, 30, 45, 60, 75, . . . ) and also (60, 120, 180, 240, 300, 360, . . . ) respectively. There are 3 generally used methods to uncover LCM of 15 and 60 - by division method, by prime factorization, and also by listing multiples.

You are watching: What is the least common multiple of 15 and 60

1.LCM the 15 and 60
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 15 and also 60 is 60.

*

Explanation:

The LCM of two non-zero integers, x(15) and y(60), is the smallest hopeful integer m(60) that is divisible by both x(15) and also y(60) without any type of remainder.


The approaches to discover the LCM of 15 and also 60 are described below.

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM of 15 and 60 by element Factorization

Prime factorization of 15 and also 60 is (3 × 5) = 31 × 51 and also (2 × 2 × 3 × 5) = 22 × 31 × 51 respectively. LCM the 15 and also 60 have the right to be derived by multiplying prime determinants raised to your respective highest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM the 15 and also 60 by element factorization is 60.

LCM the 15 and also 60 by department Method

*

To calculation the LCM that 15 and 60 by the division method, we will certainly divide the numbers(15, 60) by their prime components (preferably common). The product of these divisors offers the LCM the 15 and 60.

Step 3: continue the steps until just 1s space left in the last row.

The LCM the 15 and 60 is the product of all prime number on the left, i.e. LCM(15, 60) by division method = 2 × 2 × 3 × 5 = 60.

LCM of 15 and also 60 by Listing Multiples

*

To calculate the LCM the 15 and also 60 by listing out the common multiples, we can follow the given below steps:

Step 1: perform a couple of multiples of 15 (15, 30, 45, 60, 75, . . . ) and also 60 (60, 120, 180, 240, 300, 360, . . . . )Step 2: The common multiples indigenous the multiples of 15 and also 60 are 60, 120, . . .Step 3: The smallest typical multiple that 15 and 60 is 60.

∴ The least usual multiple of 15 and 60 = 60.

☛ additionally Check:


*


FAQs top top LCM that 15 and also 60

What is the LCM of 15 and also 60?

The LCM of 15 and 60 is 60. To uncover the LCM the 15 and 60, we need to discover the multiples the 15 and also 60 (multiples that 15 = 15, 30, 45, 60; multiples that 60 = 60, 120, 180, 240) and choose the the smallest multiple that is precisely divisible by 15 and also 60, i.e., 60.

How to find the LCM that 15 and 60 by element Factorization?

To discover the LCM the 15 and also 60 using prime factorization, we will discover the prime factors, (15 = 3 × 5) and (60 = 2 × 2 × 3 × 5). LCM the 15 and also 60 is the product of prime factors raised to their respective greatest exponent amongst the number 15 and 60.⇒ LCM that 15, 60 = 22 × 31 × 51 = 60.

What is the least Perfect Square Divisible by 15 and 60?

The least number divisible by 15 and 60 = LCM(15, 60)LCM the 15 and 60 = 2 × 2 × 3 × 5 ⇒ the very least perfect square divisible by each 15 and also 60 = LCM(15, 60) × 3 × 5 = 900 Therefore, 900 is the compelled number.

What room the methods to find LCM that 15 and also 60?

The frequently used methods to discover the LCM of 15 and 60 are:

Listing MultiplesDivision MethodPrime factorization Method

If the LCM of 60 and also 15 is 60, discover its GCF.

See more: Write A Sentence That Shows The Commutative Property Of Multiplication

LCM(60, 15) × GCF(60, 15) = 60 × 15Since the LCM the 60 and 15 = 60⇒ 60 × GCF(60, 15) = 900Therefore, the GCF (greatest common factor) = 900/60 = 15.