Least Common Multiple of 64, 66, 88, 381

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 64, 66, 88, 381 i.e. 268224 smallest integer divisible by all numbers.

Least common multiple (LCM) of 64, 66, 88, 381 is 268224.

LCM(64, 66, 88, 381) = 268224

LCM of 64, 66, 88, 381

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

LCM of:

Least Common Multiple of 64,66,88,381

Least Common Multiple (LCM) of 64,66,88,381 is 268224

2 64, 66, 88, 381
2 32, 33, 44, 381
2 16, 33, 22, 381
3 8, 33, 11, 381
11 8, 11, 11, 127
8, 1, 1, 127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 8 x 1 x 1 x 127 = 268224

Least Common Multiple of 64,66,88,381 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 64,66,88,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,66,88,381) = 1

common factors(in case of two or more numbers have common factors) = 528

GCF(64,66,88,381) x common factors =1 x 528 = 528

LCM(64,66,88,381) = ( 64 × 66 × 88 × 381 ) / 528

LCM(64,66,88,381) = 141622272 / 528

LCM(64,66,88,381) = 268224

∴ Least Common Multiple of 64,66,88,381 is 268224

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 64, 66, 88, 381

1. What is the LCM of 64, 66, 88, 381?

Answer: LCM of 64, 66, 88, 381 is 268224.

2. What are the Factors of 268224?

Answer: Factors of 268224 are . There are integers that are factors of 268224

3. How to Find the LCM of 64, 66, 88, 381 ?

Least Common Multiple of 64, 66, 88, 381.

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(64, 66, 88, 381) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 127 = 268224.