Least Common Multiple of 15, 44, 15, 20, 904

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, 44, 15, 20, 904 i.e. 149160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 15, 44, 15, 20, 904 is 149160.

LCM(15, 44, 15, 20, 904) = 149160

LCM of 15, 44, 15, 20, 904

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

LCM of:

Least Common Multiple of 15,44,15,20,904

Least Common Multiple (LCM) of 15,44,15,20,904 is 149160

2 15, 44, 15, 20, 904
2 15, 22, 15, 10, 452
3 15, 11, 15, 5, 226
5 5, 11, 5, 5, 226
1, 11, 1, 1, 226

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 11 x 1 x 1 x 226 = 149160

Least Common Multiple of 15,44,15,20,904 with GCF Formula

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

We need to calculate greatest common factor of 15,44,15,20,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,44,15,20,904) = 1

common factors(in case of two or more numbers have common factors) = 1200

GCF(15,44,15,20,904) x common factors =1 x 1200 = 1200

LCM(15,44,15,20,904) = ( 15 × 44 × 15 × 20 × 904 ) / 1200

LCM(15,44,15,20,904) = 178992000 / 1200

LCM(15,44,15,20,904) = 149160

∴ Least Common Multiple of 15,44,15,20,904 is 149160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 15, 44, 15, 20, 904

1. What is the LCM of 15, 44, 15, 20, 904?

Answer: LCM of 15, 44, 15, 20, 904 is 149160.

2. What are the Factors of 149160?

Answer: Factors of 149160 are . There are integers that are factors of 149160

3. How to Find the LCM of 15, 44, 15, 20, 904 ?

Least Common Multiple of 15, 44, 15, 20, 904.

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, 44, 15, 20, 904) = 2 x 2 x 2 x 3 x 5 x 11 x 113 = 149160.