Least Common Multiple of 55, 48, 88, 408

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 55, 48, 88, 408 i.e. 44880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 55, 48, 88, 408 is 44880.

LCM(55, 48, 88, 408) = 44880

LCM of 55, 48, 88, 408

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

LCM of:

Least Common Multiple of 55,48,88,408

Least Common Multiple (LCM) of 55,48,88,408 is 44880

2 55, 48, 88, 408
2 55, 24, 44, 204
2 55, 12, 22, 102
3 55, 6, 11, 51
11 55, 2, 11, 17
5, 2, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 5 x 2 x 1 x 17 = 44880

Least Common Multiple of 55,48,88,408 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 55,48,88,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,48,88,408) = 1

common factors(in case of two or more numbers have common factors) = 2112

GCF(55,48,88,408) x common factors =1 x 2112 = 2112

LCM(55,48,88,408) = ( 55 × 48 × 88 × 408 ) / 2112

LCM(55,48,88,408) = 94786560 / 2112

LCM(55,48,88,408) = 44880

∴ Least Common Multiple of 55,48,88,408 is 44880

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 55, 48, 88, 408

1. What is the LCM of 55, 48, 88, 408?

Answer: LCM of 55, 48, 88, 408 is 44880.

2. What are the Factors of 44880?

Answer: Factors of 44880 are . There are integers that are factors of 44880

3. How to Find the LCM of 55, 48, 88, 408 ?

Least Common Multiple of 55, 48, 88, 408.

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(55, 48, 88, 408) = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 17 = 44880.