Least Common Multiple of 610, 952, 271, 305, 992

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 610, 952, 271, 305, 992 i.e. 9757257440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 610, 952, 271, 305, 992 is 9757257440.

LCM(610, 952, 271, 305, 992) = 9757257440

LCM of 610, 952, 271, 305, 992

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

LCM of:

Least Common Multiple of 610,952,271,305,992

Least Common Multiple (LCM) of 610,952,271,305,992 is 9757257440

2 610, 952, 271, 305, 992
2 305, 476, 271, 305, 496
2 305, 238, 271, 305, 248
5 305, 119, 271, 305, 124
61 61, 119, 271, 61, 124
1, 119, 271, 1, 124

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 61 x 1 x 119 x 271 x 1 x 124 = 9757257440

Least Common Multiple of 610,952,271,305,992 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 610,952,271,305,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,952,271,305,992) = 1

common factors(in case of two or more numbers have common factors) = 4880

GCF(610,952,271,305,992) x common factors =1 x 4880 = 4880

LCM(610,952,271,305,992) = ( 610 × 952 × 271 × 305 × 992 ) / 4880

LCM(610,952,271,305,992) = 47615416307200 / 4880

LCM(610,952,271,305,992) = 9757257440

∴ Least Common Multiple of 610,952,271,305,992 is 9757257440

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 610, 952, 271, 305, 992

1. What is the LCM of 610, 952, 271, 305, 992?

Answer: LCM of 610, 952, 271, 305, 992 is 9757257440.

2. What are the Factors of 9757257440?

Answer: Factors of 9757257440 are . There are integers that are factors of 9757257440

3. How to Find the LCM of 610, 952, 271, 305, 992 ?

Least Common Multiple of 610, 952, 271, 305, 992.

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(610, 952, 271, 305, 992) = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 17 x 31 x 61 x 271 = 9757257440.