Least Common Multiple of 72, 99, 84, 378

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 72, 99, 84, 378 i.e. 16632 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 99, 84, 378 is 16632.

LCM(72, 99, 84, 378) = 16632

LCM of 72, 99, 84, 378

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

LCM of:

Least Common Multiple of 72,99,84,378

Least Common Multiple (LCM) of 72,99,84,378 is 16632

2 72, 99, 84, 378
2 36, 99, 42, 189
3 18, 99, 21, 189
3 6, 33, 7, 63
7 2, 11, 7, 21
2, 11, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 2 x 11 x 1 x 3 = 16632

Least Common Multiple of 72,99,84,378 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 72,99,84,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,99,84,378) = 3

common factors(in case of two or more numbers have common factors) = 4536

GCF(72,99,84,378) x common factors =3 x 4536 = 13608

LCM(72,99,84,378) = ( 72 × 99 × 84 × 378 ) / 13608

LCM(72,99,84,378) = 226328256 / 13608

LCM(72,99,84,378) = 16632

∴ Least Common Multiple of 72,99,84,378 is 16632

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 72, 99, 84, 378

1. What is the LCM of 72, 99, 84, 378?

Answer: LCM of 72, 99, 84, 378 is 16632.

2. What are the Factors of 16632?

Answer: Factors of 16632 are . There are integers that are factors of 16632

3. How to Find the LCM of 72, 99, 84, 378 ?

Least Common Multiple of 72, 99, 84, 378.

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(72, 99, 84, 378) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 = 16632.