Least Common Multiple of 77, 88, 21, 234

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 77, 88, 21, 234 i.e. 72072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 77, 88, 21, 234 is 72072.

LCM(77, 88, 21, 234) = 72072

LCM of 77, 88, 21, 234

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

LCM of:

Least Common Multiple of 77,88,21,234

Least Common Multiple (LCM) of 77,88,21,234 is 72072

2 77, 88, 21, 234
3 77, 44, 21, 117
7 77, 44, 7, 39
11 11, 44, 1, 39
1, 4, 1, 39

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 1 x 4 x 1 x 39 = 72072

Least Common Multiple of 77,88,21,234 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 77,88,21,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,88,21,234) = 1

common factors(in case of two or more numbers have common factors) = 462

GCF(77,88,21,234) x common factors =1 x 462 = 462

LCM(77,88,21,234) = ( 77 × 88 × 21 × 234 ) / 462

LCM(77,88,21,234) = 33297264 / 462

LCM(77,88,21,234) = 72072

∴ Least Common Multiple of 77,88,21,234 is 72072

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 77, 88, 21, 234

1. What is the LCM of 77, 88, 21, 234?

Answer: LCM of 77, 88, 21, 234 is 72072.

2. What are the Factors of 72072?

Answer: Factors of 72072 are . There are integers that are factors of 72072

3. How to Find the LCM of 77, 88, 21, 234 ?

Least Common Multiple of 77, 88, 21, 234.

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(77, 88, 21, 234) = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 13 = 72072.