Least Common Multiple of 21, 31, 77, 961

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 21, 31, 77, 961 i.e. 221991 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 31, 77, 961 is 221991.

LCM(21, 31, 77, 961) = 221991

LCM of 21, 31, 77, 961

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

LCM of:

Least Common Multiple of 21,31,77,961

Least Common Multiple (LCM) of 21,31,77,961 is 221991

7 21, 31, 77, 961
31 3, 31, 11, 961
3, 1, 11, 31

∴ So the LCM of the given numbers is 7 x 31 x 3 x 1 x 11 x 31 = 221991

Least Common Multiple of 21,31,77,961 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 21,31,77,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,31,77,961) = 1

common factors(in case of two or more numbers have common factors) = 217

GCF(21,31,77,961) x common factors =1 x 217 = 217

LCM(21,31,77,961) = ( 21 × 31 × 77 × 961 ) / 217

LCM(21,31,77,961) = 48172047 / 217

LCM(21,31,77,961) = 221991

∴ Least Common Multiple of 21,31,77,961 is 221991

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 21, 31, 77, 961

1. What is the LCM of 21, 31, 77, 961?

Answer: LCM of 21, 31, 77, 961 is 221991.

2. What are the Factors of 221991?

Answer: Factors of 221991 are . There are integers that are factors of 221991

3. How to Find the LCM of 21, 31, 77, 961 ?

Least Common Multiple of 21, 31, 77, 961.

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(21, 31, 77, 961) = 3 x 7 x 11 x 31 x 31 = 221991.