Least Common Multiple of 736/52, 8272/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/52, 8272/116 quickly i.e. 95128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/52, 8272/116 is 95128.

LCM(736/52, 8272/116) = 95128

LCM of 736/52, 8272/116

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 736/52,8272/116

Given numbers are 736/52,8272/116

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 736,8272

Least Common Multiple of Numerators i.e. LCM of 736,8272 is 380512.

GCF of Denominators means GCF of 52,116 as per the given fractions.

GCF of 52,116 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,8272

LCM of Fractions 736/52,8272/116 is 95128

2 736, 8272
2 368, 4136
2 184, 2068
2 92, 1034
46, 517

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 46 x 517 = 380512

Least Common Multiple of 736,8272 with GCF Formula

Least Common Multiple of 736,8272 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 736,8272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8272) = 16

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

GCF(736,8272) x common factors =16 x 1 = 16

LCM(736,8272) = ( 736 × 8272 ) / 16

LCM(736,8272) = 6088192 / 16

LCM(736,8272) = 380512


Lets's calculate GCF of 52,116

2 52, 116
2 26, 58
13, 29

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 380512/4

Therefore the LCM of Fractions 736/52,8272/116 is 95128

Greatest Common Factor of 52,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,116 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 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 52,116 . The biggest common factor number is the GCF number.
So the greatest common factor 52,116 is 4.


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 736/52, 8272/116

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 736/52, 8272/116?

Answer: LCM of Numerators as per given numbers 736/52, 8272/116 is

LCM of Numerators i.e. for 736,8272 is 380512

GCF of denominators i.e. for 52,116 is 4.

Thus, LCM of Fractions is 95128.Finally, LCM of Fractions for 736/52, 8272/116 is 95128.