Least Common Multiple of 656/72, 282/74, 924/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 656/72, 282/74, 924/314 quickly i.e. 3561096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/72, 282/74, 924/314 is 3561096.

LCM(656/72, 282/74, 924/314) = 3561096

LCM of 656/72, 282/74, 924/314

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 656/72,282/74,924/314

Given numbers are 656/72,282/74,924/314

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 656,282,924

Least Common Multiple of Numerators i.e. LCM of 656,282,924 is 7122192.

GCF of Denominators means GCF of 72,74,314 as per the given fractions.

GCF of 72,74,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,282,924

LCM of Fractions 656/72,282/74,924/314 is 3561096

2 656, 282, 924
2 328, 141, 462
3 164, 141, 231
164, 47, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 164 x 47 x 77 = 7122192

Least Common Multiple of 656,282,924 with GCF Formula

Least Common Multiple of 656,282,924 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 656,282,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,282,924) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(656,282,924) x common factors =2 x 12 = 24

LCM(656,282,924) = ( 656 × 282 × 924 ) / 24

LCM(656,282,924) = 170932608 / 24

LCM(656,282,924) = 7122192


Lets's calculate GCF of 72,74,314

2 72, 74, 314
36, 37, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7122192/2

Therefore the LCM of Fractions 656/72,282/74,924/314 is 3561096

Greatest Common Factor of 72,74,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,74,314 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 72,74,314 . The biggest common factor number is the GCF number.
So the greatest common factor 72,74,314 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 656/72, 282/74, 924/314

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 656/72, 282/74, 924/314?

Answer: LCM of Numerators as per given numbers 656/72, 282/74, 924/314 is

LCM of Numerators i.e. for 656,282,924 is 7122192

GCF of denominators i.e. for 72,74,314 is 2.

Thus, LCM of Fractions is 3561096.Finally, LCM of Fractions for 656/72, 282/74, 924/314 is 3561096.