Least Common Multiple of 76/687, 62/715, 974/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/687, 62/715, 974/626 quickly i.e. 1147372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/687, 62/715, 974/626 is 1147372.

LCM(76/687, 62/715, 974/626) = 1147372

LCM of 76/687, 62/715, 974/626

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 76/687,62/715,974/626

Given numbers are 76/687,62/715,974/626

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 76,62,974

Least Common Multiple of Numerators i.e. LCM of 76,62,974 is 1147372.

GCF of Denominators means GCF of 687,715,626 as per the given fractions.

GCF of 687,715,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,62,974

LCM of Fractions 76/687,62/715,974/626 is 1147372

2 76, 62, 974
38, 31, 487

∴ So the LCM of the given numbers is 2 x 38 x 31 x 487 = 1147372

Least Common Multiple of 76,62,974 with GCF Formula

Least Common Multiple of 76,62,974 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 76,62,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,62,974) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(76,62,974) x common factors =2 x 2 = 4

LCM(76,62,974) = ( 76 × 62 × 974 ) / 4

LCM(76,62,974) = 4589488 / 4

LCM(76,62,974) = 1147372


Lets's calculate GCF of 687,715,626

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1147372/1

Therefore the LCM of Fractions 76/687,62/715,974/626 is 1147372

Greatest Common Factor of 687,715,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,715,626 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 687,715,626 . The biggest common factor number is the GCF number.
So the greatest common factor 687,715,626 is 1.


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 76/687, 62/715, 974/626

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 76/687, 62/715, 974/626?

Answer: LCM of Numerators as per given numbers 76/687, 62/715, 974/626 is

LCM of Numerators i.e. for 76,62,974 is 1147372

GCF of denominators i.e. for 687,715,626 is 1.

Thus, LCM of Fractions is 1147372.Finally, LCM of Fractions for 76/687, 62/715, 974/626 is 1147372.