Least Common Multiple of 292/716, 462/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/716, 462/924 quickly i.e. 16863 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/716, 462/924 is 16863.

LCM(292/716, 462/924) = 16863

LCM of 292/716, 462/924

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 292/716,462/924

Given numbers are 292/716,462/924

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 292,462

Least Common Multiple of Numerators i.e. LCM of 292,462 is 67452.

GCF of Denominators means GCF of 716,924 as per the given fractions.

GCF of 716,924 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,462

LCM of Fractions 292/716,462/924 is 16863

2 292, 462
146, 231

∴ So the LCM of the given numbers is 2 x 146 x 231 = 67452

Least Common Multiple of 292,462 with GCF Formula

Least Common Multiple of 292,462 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 292,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,462) = 2

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

GCF(292,462) x common factors =2 x 1 = 2

LCM(292,462) = ( 292 × 462 ) / 2

LCM(292,462) = 134904 / 2

LCM(292,462) = 67452


Lets's calculate GCF of 716,924

2 716, 924
2 358, 462
179, 231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67452/4

Therefore the LCM of Fractions 292/716,462/924 is 16863

Greatest Common Factor of 716,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,924 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 716,924 . The biggest common factor number is the GCF number.
So the greatest common factor 716,924 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 292/716, 462/924

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 292/716, 462/924?

Answer: LCM of Numerators as per given numbers 292/716, 462/924 is

LCM of Numerators i.e. for 292,462 is 67452

GCF of denominators i.e. for 716,924 is 4.

Thus, LCM of Fractions is 16863.Finally, LCM of Fractions for 292/716, 462/924 is 16863.