Least Common Multiple of 72, 96, 684, 254

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, 96, 684, 254 i.e. 694944 smallest integer divisible by all numbers.

Least common multiple (LCM) of 72, 96, 684, 254 is 694944.

LCM(72, 96, 684, 254) = 694944

LCM of 72, 96, 684, 254

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

LCM of:

Least Common Multiple of 72,96,684,254

Least Common Multiple (LCM) of 72,96,684,254 is 694944

2 72, 96, 684, 254
2 36, 48, 342, 127
2 18, 24, 171, 127
3 9, 12, 171, 127
3 3, 4, 57, 127
1, 4, 19, 127

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 4 x 19 x 127 = 694944

Least Common Multiple of 72,96,684,254 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 72,96,684,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,96,684,254) = 2

common factors(in case of two or more numbers have common factors) = 864

GCF(72,96,684,254) x common factors =2 x 864 = 1728

LCM(72,96,684,254) = ( 72 × 96 × 684 × 254 ) / 1728

LCM(72,96,684,254) = 1200863232 / 1728

LCM(72,96,684,254) = 694944

∴ Least Common Multiple of 72,96,684,254 is 694944

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 72, 96, 684, 254

1. What is the LCM of 72, 96, 684, 254?

Answer: LCM of 72, 96, 684, 254 is 694944.

2. What are the Factors of 694944?

Answer: Factors of 694944 are . There are integers that are factors of 694944

3. How to Find the LCM of 72, 96, 684, 254 ?

Least Common Multiple of 72, 96, 684, 254.

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, 96, 684, 254) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 127 = 694944.