Least Common Multiple of 992, 715, 506, 421

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 992, 715, 506, 421 i.e. 6867958240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 992, 715, 506, 421 is 6867958240.

LCM(992, 715, 506, 421) = 6867958240

LCM of 992, 715, 506, 421

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

LCM of:

Least Common Multiple of 992,715,506,421

Least Common Multiple (LCM) of 992,715,506,421 is 6867958240

2 992, 715, 506, 421
11 496, 715, 253, 421
496, 65, 23, 421

∴ So the LCM of the given numbers is 2 x 11 x 496 x 65 x 23 x 421 = 6867958240

Least Common Multiple of 992,715,506,421 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 992,715,506,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,715,506,421) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(992,715,506,421) x common factors =1 x 22 = 22

LCM(992,715,506,421) = ( 992 × 715 × 506 × 421 ) / 22

LCM(992,715,506,421) = 151095081280 / 22

LCM(992,715,506,421) = 6867958240

∴ Least Common Multiple of 992,715,506,421 is 6867958240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 992, 715, 506, 421

1. What is the LCM of 992, 715, 506, 421?

Answer: LCM of 992, 715, 506, 421 is 6867958240.

2. What are the Factors of 6867958240?

Answer: Factors of 6867958240 are . There are integers that are factors of 6867958240

3. How to Find the LCM of 992, 715, 506, 421 ?

Least Common Multiple of 992, 715, 506, 421.

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(992, 715, 506, 421) = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 13 x 23 x 31 x 421 = 6867958240.