Least Common Multiple of 7962/756, 7611/3668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7962/756, 7611/3668 quickly i.e. 20199594/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7962/756, 7611/3668 is 20199594/28.

LCM(7962/756, 7611/3668) = 20199594/28

LCM of 7962/756, 7611/3668

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 7962/756,7611/3668

Given numbers are 7962/756,7611/3668

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 7962,7611

Least Common Multiple of Numerators i.e. LCM of 7962,7611 is 20199594.

GCF of Denominators means GCF of 756,3668 as per the given fractions.

GCF of 756,3668 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7962,7611

LCM of Fractions 7962/756,7611/3668 is 20199594/28

3 7962, 7611
2654, 2537

∴ So the LCM of the given numbers is 3 x 2654 x 2537 = 20199594

Least Common Multiple of 7962,7611 with GCF Formula

Least Common Multiple of 7962,7611 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 7962,7611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7962,7611) = 3

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

GCF(7962,7611) x common factors =3 x 1 = 3

LCM(7962,7611) = ( 7962 × 7611 ) / 3

LCM(7962,7611) = 60598782 / 3

LCM(7962,7611) = 20199594


Lets's calculate GCF of 756,3668

2 756, 3668
2 378, 1834
7 189, 917
27, 131

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20199594/28

Therefore the LCM of Fractions 7962/756,7611/3668 is 20199594/28

Greatest Common Factor of 756,3668 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,3668 By Matching Biggest Common Factor Method

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

Factors of 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1,2,4,7,14,28,131,262,524,917,1834,3668

Greatest Common Factor

We found the factors 756,3668 . The biggest common factor number is the GCF number.
So the greatest common factor 756,3668 is 28.


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 7962/756, 7611/3668

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 7962/756, 7611/3668?

Answer: LCM of Numerators as per given numbers 7962/756, 7611/3668 is

LCM of Numerators i.e. for 7962,7611 is 20199594

GCF of denominators i.e. for 756,3668 is 28.

Thus, LCM of Fractions is 20199594/28.Finally, LCM of Fractions for 7962/756, 7611/3668 is 20199594/28.