Least Common Multiple of 50/748, 5427/1507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/748, 5427/1507 quickly i.e. 271350/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/748, 5427/1507 is 271350/11.

LCM(50/748, 5427/1507) = 271350/11

LCM of 50/748, 5427/1507

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 50/748,5427/1507

Given numbers are 50/748,5427/1507

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 50,5427

Least Common Multiple of Numerators i.e. LCM of 50,5427 is 271350.

GCF of Denominators means GCF of 748,1507 as per the given fractions.

GCF of 748,1507 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,5427

LCM of Fractions 50/748,5427/1507 is 271350/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 271350

Least Common Multiple of 50,5427 with GCF Formula

Least Common Multiple of 50,5427 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 50,5427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,5427) = 1

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

GCF(50,5427) x common factors =1 x 1 = 1

LCM(50,5427) = ( 50 × 5427 ) / 1

LCM(50,5427) = 271350 / 1

LCM(50,5427) = 271350


Lets's calculate GCF of 748,1507

11 748, 1507
68, 137

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271350/11

Therefore the LCM of Fractions 50/748,5427/1507 is 271350/11

Greatest Common Factor of 748,1507 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,1507 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 1507

List of positive integer factors of 1507 that divides 1507 without a remainder.

1,11,137,1507

Greatest Common Factor

We found the factors 748,1507 . The biggest common factor number is the GCF number.
So the greatest common factor 748,1507 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/748, 5427/1507

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 50/748, 5427/1507?

Answer: LCM of Numerators as per given numbers 50/748, 5427/1507 is

LCM of Numerators i.e. for 50,5427 is 271350

GCF of denominators i.e. for 748,1507 is 11.

Thus, LCM of Fractions is 271350/11.Finally, LCM of Fractions for 50/748, 5427/1507 is 271350/11.