Least Common Multiple of 74/936, 53/232, 560/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/936, 53/232, 560/728 quickly i.e. 137270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/936, 53/232, 560/728 is 137270.

LCM(74/936, 53/232, 560/728) = 137270

LCM of 74/936, 53/232, 560/728

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 74/936,53/232,560/728

Given numbers are 74/936,53/232,560/728

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 74,53,560

Least Common Multiple of Numerators i.e. LCM of 74,53,560 is 1098160.

GCF of Denominators means GCF of 936,232,728 as per the given fractions.

GCF of 936,232,728 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,53,560

LCM of Fractions 74/936,53/232,560/728 is 137270

2 74, 53, 560
37, 53, 280

∴ So the LCM of the given numbers is 2 x 37 x 53 x 280 = 1098160

Least Common Multiple of 74,53,560 with GCF Formula

Least Common Multiple of 74,53,560 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 74,53,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,53,560) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,53,560) x common factors =1 x 2 = 2

LCM(74,53,560) = ( 74 × 53 × 560 ) / 2

LCM(74,53,560) = 2196320 / 2

LCM(74,53,560) = 1098160


Lets's calculate GCF of 936,232,728

2 936, 232, 728
2 468, 116, 364
2 234, 58, 182
117, 29, 91

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098160/8

Therefore the LCM of Fractions 74/936,53/232,560/728 is 137270

Greatest Common Factor of 936,232,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 936,232,728 By Matching Biggest Common Factor Method

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 936,232,728 . The biggest common factor number is the GCF number.
So the greatest common factor 936,232,728 is 8.


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 74/936, 53/232, 560/728

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 74/936, 53/232, 560/728?

Answer: LCM of Numerators as per given numbers 74/936, 53/232, 560/728 is

LCM of Numerators i.e. for 74,53,560 is 1098160

GCF of denominators i.e. for 936,232,728 is 8.

Thus, LCM of Fractions is 137270.Finally, LCM of Fractions for 74/936, 53/232, 560/728 is 137270.