Least Common Multiple of 42/938, 7583/5516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/938, 7583/5516 quickly i.e. 22749 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/938, 7583/5516 is 22749.

LCM(42/938, 7583/5516) = 22749

LCM of 42/938, 7583/5516

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 42/938,7583/5516

Given numbers are 42/938,7583/5516

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 42,7583

Least Common Multiple of Numerators i.e. LCM of 42,7583 is 318486.

GCF of Denominators means GCF of 938,5516 as per the given fractions.

GCF of 938,5516 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,7583

LCM of Fractions 42/938,7583/5516 is 22749

Given numbers has no common factors except 1. So, there LCM is their product i.e 318486

Least Common Multiple of 42,7583 with GCF Formula

Least Common Multiple of 42,7583 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 42,7583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,7583) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(42,7583) x common factors =1 x 1 = 1

LCM(42,7583) = ( 42 × 7583 ) / 1

LCM(42,7583) = 318486 / 1

LCM(42,7583) = 318486


Lets's calculate GCF of 938,5516

2 938, 5516
7 469, 2758
67, 394

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318486/14

Therefore the LCM of Fractions 42/938,7583/5516 is 22749

Greatest Common Factor of 938,5516 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,5516 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 5516

List of positive integer factors of 5516 that divides 5516 without a remainder.

1,2,4,7,14,28,197,394,788,1379,2758,5516

Greatest Common Factor

We found the factors 938,5516 . The biggest common factor number is the GCF number.
So the greatest common factor 938,5516 is 14.


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 42/938, 7583/5516

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 42/938, 7583/5516?

Answer: LCM of Numerators as per given numbers 42/938, 7583/5516 is

LCM of Numerators i.e. for 42,7583 is 318486

GCF of denominators i.e. for 938,5516 is 14.

Thus, LCM of Fractions is 22749.Finally, LCM of Fractions for 42/938, 7583/5516 is 22749.