Least Common Multiple of 44/422, 80/371, 424/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/422, 80/371, 424/984 quickly i.e. 46640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/422, 80/371, 424/984 is 46640.

LCM(44/422, 80/371, 424/984) = 46640

LCM of 44/422, 80/371, 424/984

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 44/422,80/371,424/984

Given numbers are 44/422,80/371,424/984

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 44,80,424

Least Common Multiple of Numerators i.e. LCM of 44,80,424 is 46640.

GCF of Denominators means GCF of 422,371,984 as per the given fractions.

GCF of 422,371,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,80,424

LCM of Fractions 44/422,80/371,424/984 is 46640

2 44, 80, 424
2 22, 40, 212
2 11, 20, 106
11, 10, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 10 x 53 = 46640

Least Common Multiple of 44,80,424 with GCF Formula

Least Common Multiple of 44,80,424 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 44,80,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,80,424) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(44,80,424) x common factors =4 x 8 = 32

LCM(44,80,424) = ( 44 × 80 × 424 ) / 32

LCM(44,80,424) = 1492480 / 32

LCM(44,80,424) = 46640


Lets's calculate GCF of 422,371,984

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46640/1

Therefore the LCM of Fractions 44/422,80/371,424/984 is 46640

Greatest Common Factor of 422,371,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,371,984 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 422,371,984 . The biggest common factor number is the GCF number.
So the greatest common factor 422,371,984 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 44/422, 80/371, 424/984

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 44/422, 80/371, 424/984?

Answer: LCM of Numerators as per given numbers 44/422, 80/371, 424/984 is

LCM of Numerators i.e. for 44,80,424 is 46640

GCF of denominators i.e. for 422,371,984 is 1.

Thus, LCM of Fractions is 46640.Finally, LCM of Fractions for 44/422, 80/371, 424/984 is 46640.