Least Common Multiple of 956/730, 5332/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 956/730, 5332/728 quickly i.e. 637174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 956/730, 5332/728 is 637174.

LCM(956/730, 5332/728) = 637174

LCM of 956/730, 5332/728

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 956/730,5332/728

Given numbers are 956/730,5332/728

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 956,5332

Least Common Multiple of Numerators i.e. LCM of 956,5332 is 1274348.

GCF of Denominators means GCF of 730,728 as per the given fractions.

GCF of 730,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 956,5332

LCM of Fractions 956/730,5332/728 is 637174

2 956, 5332
2 478, 2666
239, 1333

∴ So the LCM of the given numbers is 2 x 2 x 239 x 1333 = 1274348

Least Common Multiple of 956,5332 with GCF Formula

Least Common Multiple of 956,5332 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 956,5332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,5332) = 4

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

GCF(956,5332) x common factors =4 x 1 = 4

LCM(956,5332) = ( 956 × 5332 ) / 4

LCM(956,5332) = 5097392 / 4

LCM(956,5332) = 1274348


Lets's calculate GCF of 730,728

2 730, 728
365, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1274348/2

Therefore the LCM of Fractions 956/730,5332/728 is 637174

Greatest Common Factor of 730,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,728 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

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 730,728 . The biggest common factor number is the GCF number.
So the greatest common factor 730,728 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 956/730, 5332/728

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 956/730, 5332/728?

Answer: LCM of Numerators as per given numbers 956/730, 5332/728 is

LCM of Numerators i.e. for 956,5332 is 1274348

GCF of denominators i.e. for 730,728 is 2.

Thus, LCM of Fractions is 637174.Finally, LCM of Fractions for 956/730, 5332/728 is 637174.