Least Common Multiple of 7862/970, 5754/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7862/970, 5754/716 quickly i.e. 11309487 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7862/970, 5754/716 is 11309487.

LCM(7862/970, 5754/716) = 11309487

LCM of 7862/970, 5754/716

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 7862/970,5754/716

Given numbers are 7862/970,5754/716

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 7862,5754

Least Common Multiple of Numerators i.e. LCM of 7862,5754 is 22618974.

GCF of Denominators means GCF of 970,716 as per the given fractions.

GCF of 970,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7862,5754

LCM of Fractions 7862/970,5754/716 is 11309487

2 7862, 5754
3931, 2877

∴ So the LCM of the given numbers is 2 x 3931 x 2877 = 22618974

Least Common Multiple of 7862,5754 with GCF Formula

Least Common Multiple of 7862,5754 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 7862,5754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7862,5754) = 2

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

GCF(7862,5754) x common factors =2 x 1 = 2

LCM(7862,5754) = ( 7862 × 5754 ) / 2

LCM(7862,5754) = 45237948 / 2

LCM(7862,5754) = 22618974


Lets's calculate GCF of 970,716

2 970, 716
485, 358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22618974/2

Therefore the LCM of Fractions 7862/970,5754/716 is 11309487

Greatest Common Factor of 970,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,716 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 716

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

1,2,4,179,358,716

Greatest Common Factor

We found the factors 970,716 . The biggest common factor number is the GCF number.
So the greatest common factor 970,716 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 7862/970, 5754/716

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 7862/970, 5754/716?

Answer: LCM of Numerators as per given numbers 7862/970, 5754/716 is

LCM of Numerators i.e. for 7862,5754 is 22618974

GCF of denominators i.e. for 970,716 is 2.

Thus, LCM of Fractions is 11309487.Finally, LCM of Fractions for 7862/970, 5754/716 is 11309487.