Least Common Multiple of 51, 72, 45, 46, 956

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 51, 72, 45, 46, 956 i.e. 33641640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 51, 72, 45, 46, 956 is 33641640.

LCM(51, 72, 45, 46, 956) = 33641640

LCM of 51, 72, 45, 46, 956

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

LCM of:

Least Common Multiple of 51,72,45,46,956

Least Common Multiple (LCM) of 51,72,45,46,956 is 33641640

2 51, 72, 45, 46, 956
2 51, 36, 45, 23, 478
3 51, 18, 45, 23, 239
3 17, 6, 15, 23, 239
17, 2, 5, 23, 239

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 2 x 5 x 23 x 239 = 33641640

Least Common Multiple of 51,72,45,46,956 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 51,72,45,46,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,72,45,46,956) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(51,72,45,46,956) x common factors =1 x 216 = 216

LCM(51,72,45,46,956) = ( 51 × 72 × 45 × 46 × 956 ) / 216

LCM(51,72,45,46,956) = 7266594240 / 216

LCM(51,72,45,46,956) = 33641640

∴ Least Common Multiple of 51,72,45,46,956 is 33641640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 51, 72, 45, 46, 956

1. What is the LCM of 51, 72, 45, 46, 956?

Answer: LCM of 51, 72, 45, 46, 956 is 33641640.

2. What are the Factors of 33641640?

Answer: Factors of 33641640 are . There are integers that are factors of 33641640

3. How to Find the LCM of 51, 72, 45, 46, 956 ?

Least Common Multiple of 51, 72, 45, 46, 956.

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(51, 72, 45, 46, 956) = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 23 x 239 = 33641640.