Least Common Multiple of 2952/816, 8678/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2952/816, 8678/756 quickly i.e. 1067394 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2952/816, 8678/756 is 1067394.

LCM(2952/816, 8678/756) = 1067394

LCM of 2952/816, 8678/756

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 2952/816,8678/756

Given numbers are 2952/816,8678/756

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 2952,8678

Least Common Multiple of Numerators i.e. LCM of 2952,8678 is 12808728.

GCF of Denominators means GCF of 816,756 as per the given fractions.

GCF of 816,756 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2952,8678

LCM of Fractions 2952/816,8678/756 is 1067394

2 2952, 8678
1476, 4339

∴ So the LCM of the given numbers is 2 x 1476 x 4339 = 12808728

Least Common Multiple of 2952,8678 with GCF Formula

Least Common Multiple of 2952,8678 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 2952,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2952,8678) = 2

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

GCF(2952,8678) x common factors =2 x 1 = 2

LCM(2952,8678) = ( 2952 × 8678 ) / 2

LCM(2952,8678) = 25617456 / 2

LCM(2952,8678) = 12808728


Lets's calculate GCF of 816,756

2 816, 756
2 408, 378
3 204, 189
68, 63

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12808728/12

Therefore the LCM of Fractions 2952/816,8678/756 is 1067394

Greatest Common Factor of 816,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,756 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 816,756 . The biggest common factor number is the GCF number.
So the greatest common factor 816,756 is 12.


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 2952/816, 8678/756

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 2952/816, 8678/756?

Answer: LCM of Numerators as per given numbers 2952/816, 8678/756 is

LCM of Numerators i.e. for 2952,8678 is 12808728

GCF of denominators i.e. for 816,756 is 12.

Thus, LCM of Fractions is 1067394.Finally, LCM of Fractions for 2952/816, 8678/756 is 1067394.