Least Common Multiple of 15, 25, 39, 240

Q: How to Find the LCM of 15, 25, 39, 240 ?

Least Common Multiple of 15, 25, 39, 240 = 15600 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(15, 25, 39, 240) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 = 15600.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 15, 25, 39, 240 i.e. 15600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 25, 39, 240 is 15600.

LCM(15, 25, 39, 240) = 15600

LCM of 15, 25, 39, 240

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 15, 25, 39, 240 by common division method
Least Common Multiple of 15, 25, 39, 240 with GCF Formula

Least Common Multiple of 15,25,39,240

Least Common Multiple (LCM) of 15,25,39,240 is 15600

3	15, 25, 39, 240
5	5, 25, 13, 80
	1, 5, 13, 16

∴ So the LCM of the given numbers is 3 x 5 x 1 x 5 x 13 x 16 = 15600

Least Common Multiple of 15,25,39,240 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 15,25,39,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,25,39,240) = 1

common factors(in case of two or more numbers have common factors) = 225

GCF(15,25,39,240) x common factors =1 x 225 = 225

LCM(15,25,39,240) = ( 15 × 25 × 39 × 240 ) / 225

LCM(15,25,39,240) = 3510000 / 225

LCM(15,25,39,240) = 15600

∴ Least Common Multiple of 15,25,39,240 is 15600

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 15, 25, 39, 240

1. What is the LCM of 15, 25, 39, 240?

Answer: LCM of 15, 25, 39, 240 is 15600.

2. What are the Factors of 15600?

Answer: Factors of 15600 are . There are integers that are factors of 15600

3. How to Find the LCM of 15, 25, 39, 240 ?

Least Common Multiple of 15, 25, 39, 240.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(15, 25, 39, 240) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 13 = 15600.