Least Common Multiple of 7252/52, 8272/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7252/52, 8272/742 quickly i.e. 7498568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7252/52, 8272/742 is 7498568.

LCM(7252/52, 8272/742) = 7498568

LCM of 7252/52, 8272/742

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 7252/52,8272/742

Given numbers are 7252/52,8272/742

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 7252,8272

Least Common Multiple of Numerators i.e. LCM of 7252,8272 is 14997136.

GCF of Denominators means GCF of 52,742 as per the given fractions.

GCF of 52,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7252,8272

LCM of Fractions 7252/52,8272/742 is 7498568

2 7252, 8272
2 3626, 4136
1813, 2068

∴ So the LCM of the given numbers is 2 x 2 x 1813 x 2068 = 14997136

Least Common Multiple of 7252,8272 with GCF Formula

Least Common Multiple of 7252,8272 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 7252,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7252,8272) = 4

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

GCF(7252,8272) x common factors =4 x 1 = 4

LCM(7252,8272) = ( 7252 × 8272 ) / 4

LCM(7252,8272) = 59988544 / 4

LCM(7252,8272) = 14997136


Lets's calculate GCF of 52,742

2 52, 742
26, 371

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14997136/2

Therefore the LCM of Fractions 7252/52,8272/742 is 7498568

Greatest Common Factor of 52,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,742 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 52,742 . The biggest common factor number is the GCF number.
So the greatest common factor 52,742 is 2.


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 7252/52, 8272/742

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 7252/52, 8272/742?

Answer: LCM of Numerators as per given numbers 7252/52, 8272/742 is

LCM of Numerators i.e. for 7252,8272 is 14997136

GCF of denominators i.e. for 52,742 is 2.

Thus, LCM of Fractions is 7498568.Finally, LCM of Fractions for 7252/52, 8272/742 is 7498568.