Least Common Multiple of 78, 32, 54, 416

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 78, 32, 54, 416 i.e. 11232 smallest integer divisible by all numbers.

Least common multiple (LCM) of 78, 32, 54, 416 is 11232.

LCM(78, 32, 54, 416) = 11232

LCM of 78, 32, 54, 416

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

LCM of:

Least Common Multiple of 78,32,54,416

Least Common Multiple (LCM) of 78,32,54,416 is 11232

2 78, 32, 54, 416
2 39, 16, 27, 208
2 39, 8, 27, 104
2 39, 4, 27, 52
2 39, 2, 27, 26
3 39, 1, 27, 13
13 13, 1, 9, 13
1, 1, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 13 x 1 x 1 x 9 x 1 = 11232

Least Common Multiple of 78,32,54,416 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 78,32,54,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,32,54,416) = 2

common factors(in case of two or more numbers have common factors) = 2496

GCF(78,32,54,416) x common factors =2 x 2496 = 4992

LCM(78,32,54,416) = ( 78 × 32 × 54 × 416 ) / 4992

LCM(78,32,54,416) = 56070144 / 4992

LCM(78,32,54,416) = 11232

∴ Least Common Multiple of 78,32,54,416 is 11232

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 78, 32, 54, 416

1. What is the LCM of 78, 32, 54, 416?

Answer: LCM of 78, 32, 54, 416 is 11232.

2. What are the Factors of 11232?

Answer: Factors of 11232 are . There are integers that are factors of 11232

3. How to Find the LCM of 78, 32, 54, 416 ?

Least Common Multiple of 78, 32, 54, 416.

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(78, 32, 54, 416) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 = 11232.