Least Common Multiple of 97/878, 138/84, 756/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/878, 138/84, 756/794 quickly i.e. 843318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/878, 138/84, 756/794 is 843318.

LCM(97/878, 138/84, 756/794) = 843318

LCM of 97/878, 138/84, 756/794

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 97/878,138/84,756/794

Given numbers are 97/878,138/84,756/794

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 97,138,756

Least Common Multiple of Numerators i.e. LCM of 97,138,756 is 1686636.

GCF of Denominators means GCF of 878,84,794 as per the given fractions.

GCF of 878,84,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,138,756

LCM of Fractions 97/878,138/84,756/794 is 843318

2 97, 138, 756
3 97, 69, 378
97, 23, 126

∴ So the LCM of the given numbers is 2 x 3 x 97 x 23 x 126 = 1686636

Least Common Multiple of 97,138,756 with GCF Formula

Least Common Multiple of 97,138,756 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 97,138,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,138,756) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(97,138,756) x common factors =1 x 6 = 6

LCM(97,138,756) = ( 97 × 138 × 756 ) / 6

LCM(97,138,756) = 10119816 / 6

LCM(97,138,756) = 1686636


Lets's calculate GCF of 878,84,794

2 878, 84, 794
439, 42, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1686636/2

Therefore the LCM of Fractions 97/878,138/84,756/794 is 843318

Greatest Common Factor of 878,84,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,84,794 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 878,84,794 . The biggest common factor number is the GCF number.
So the greatest common factor 878,84,794 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 97/878, 138/84, 756/794

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 97/878, 138/84, 756/794?

Answer: LCM of Numerators as per given numbers 97/878, 138/84, 756/794 is

LCM of Numerators i.e. for 97,138,756 is 1686636

GCF of denominators i.e. for 878,84,794 is 2.

Thus, LCM of Fractions is 843318.Finally, LCM of Fractions for 97/878, 138/84, 756/794 is 843318.