Least Common Multiple of 66, 27, 96, 984

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 66, 27, 96, 984 i.e. 389664 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 27, 96, 984 is 389664.

LCM(66, 27, 96, 984) = 389664

LCM of 66, 27, 96, 984

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

LCM of:

Least Common Multiple of 66,27,96,984

Least Common Multiple (LCM) of 66,27,96,984 is 389664

2 66, 27, 96, 984
2 33, 27, 48, 492
2 33, 27, 24, 246
3 33, 27, 12, 123
11, 9, 4, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 9 x 4 x 41 = 389664

Least Common Multiple of 66,27,96,984 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 66,27,96,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,27,96,984) = 3

common factors(in case of two or more numbers have common factors) = 144

GCF(66,27,96,984) x common factors =3 x 144 = 432

LCM(66,27,96,984) = ( 66 × 27 × 96 × 984 ) / 432

LCM(66,27,96,984) = 168334848 / 432

LCM(66,27,96,984) = 389664

∴ Least Common Multiple of 66,27,96,984 is 389664

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 66, 27, 96, 984

1. What is the LCM of 66, 27, 96, 984?

Answer: LCM of 66, 27, 96, 984 is 389664.

2. What are the Factors of 389664?

Answer: Factors of 389664 are . There are integers that are factors of 389664

3. How to Find the LCM of 66, 27, 96, 984 ?

Least Common Multiple of 66, 27, 96, 984.

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(66, 27, 96, 984) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 41 = 389664.