Least Common Multiple of 998, 795, 314, 21

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 998, 795, 314, 21 i.e. 871957590 smallest integer divisible by all numbers.

Least common multiple (LCM) of 998, 795, 314, 21 is 871957590.

LCM(998, 795, 314, 21) = 871957590

LCM of 998, 795, 314, 21

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

LCM of:

Least Common Multiple of 998,795,314,21

Least Common Multiple (LCM) of 998,795,314,21 is 871957590

2 998, 795, 314, 21
3 499, 795, 157, 21
499, 265, 157, 7

∴ So the LCM of the given numbers is 2 x 3 x 499 x 265 x 157 x 7 = 871957590

Least Common Multiple of 998,795,314,21 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 998,795,314,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,795,314,21) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(998,795,314,21) x common factors =1 x 6 = 6

LCM(998,795,314,21) = ( 998 × 795 × 314 × 21 ) / 6

LCM(998,795,314,21) = 5231745540 / 6

LCM(998,795,314,21) = 871957590

∴ Least Common Multiple of 998,795,314,21 is 871957590

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 998, 795, 314, 21

1. What is the LCM of 998, 795, 314, 21?

Answer: LCM of 998, 795, 314, 21 is 871957590.

2. What are the Factors of 871957590?

Answer: Factors of 871957590 are . There are integers that are factors of 871957590

3. How to Find the LCM of 998, 795, 314, 21 ?

Least Common Multiple of 998, 795, 314, 21.

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(998, 795, 314, 21) = 2 x 3 x 5 x 7 x 53 x 157 x 499 = 871957590.