Least Common Multiple of 826/924, 2712/8961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 826/924, 2712/8961 quickly i.e. 373352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 826/924, 2712/8961 is 373352.

LCM(826/924, 2712/8961) = 373352

LCM of 826/924, 2712/8961

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 826/924,2712/8961

Given numbers are 826/924,2712/8961

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 826,2712

Least Common Multiple of Numerators i.e. LCM of 826,2712 is 1120056.

GCF of Denominators means GCF of 924,8961 as per the given fractions.

GCF of 924,8961 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 826,2712

LCM of Fractions 826/924,2712/8961 is 373352

2 826, 2712
413, 1356

∴ So the LCM of the given numbers is 2 x 413 x 1356 = 1120056

Least Common Multiple of 826,2712 with GCF Formula

Least Common Multiple of 826,2712 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 826,2712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,2712) = 2

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

GCF(826,2712) x common factors =2 x 1 = 2

LCM(826,2712) = ( 826 × 2712 ) / 2

LCM(826,2712) = 2240112 / 2

LCM(826,2712) = 1120056


Lets's calculate GCF of 924,8961

3 924, 8961
308, 2987

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1120056/3

Therefore the LCM of Fractions 826/924,2712/8961 is 373352

Greatest Common Factor of 924,8961 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,8961 By Matching Biggest Common Factor Method

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

Factors of 8961

List of positive integer factors of 8961 that divides 8961 without a remainder.

1,3,29,87,103,309,2987,8961

Greatest Common Factor

We found the factors 924,8961 . The biggest common factor number is the GCF number.
So the greatest common factor 924,8961 is 3.


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 826/924, 2712/8961

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 826/924, 2712/8961?

Answer: LCM of Numerators as per given numbers 826/924, 2712/8961 is

LCM of Numerators i.e. for 826,2712 is 1120056

GCF of denominators i.e. for 924,8961 is 3.

Thus, LCM of Fractions is 373352.Finally, LCM of Fractions for 826/924, 2712/8961 is 373352.