Least Common Multiple of 44, 48, 49, 424

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 44, 48, 49, 424 i.e. 1371216 smallest integer divisible by all numbers.

Least common multiple (LCM) of 44, 48, 49, 424 is 1371216.

LCM(44, 48, 49, 424) = 1371216

LCM of 44, 48, 49, 424

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

LCM of:

Least Common Multiple of 44,48,49,424

Least Common Multiple (LCM) of 44,48,49,424 is 1371216

2 44, 48, 49, 424
2 22, 24, 49, 212
2 11, 12, 49, 106
11, 6, 49, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 6 x 49 x 53 = 1371216

Least Common Multiple of 44,48,49,424 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 44,48,49,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,48,49,424) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(44,48,49,424) x common factors =1 x 32 = 32

LCM(44,48,49,424) = ( 44 × 48 × 49 × 424 ) / 32

LCM(44,48,49,424) = 43878912 / 32

LCM(44,48,49,424) = 1371216

∴ Least Common Multiple of 44,48,49,424 is 1371216

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 44, 48, 49, 424

1. What is the LCM of 44, 48, 49, 424?

Answer: LCM of 44, 48, 49, 424 is 1371216.

2. What are the Factors of 1371216?

Answer: Factors of 1371216 are . There are integers that are factors of 1371216

3. How to Find the LCM of 44, 48, 49, 424 ?

Least Common Multiple of 44, 48, 49, 424.

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(44, 48, 49, 424) = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 11 x 53 = 1371216.