Least Common Multiple of 6726/22, 7552/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6726/22, 7552/696 quickly i.e. 215232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6726/22, 7552/696 is 215232.

LCM(6726/22, 7552/696) = 215232

LCM of 6726/22, 7552/696

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 6726/22,7552/696

Given numbers are 6726/22,7552/696

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 6726,7552

Least Common Multiple of Numerators i.e. LCM of 6726,7552 is 430464.

GCF of Denominators means GCF of 22,696 as per the given fractions.

GCF of 22,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6726,7552

LCM of Fractions 6726/22,7552/696 is 215232

2 6726, 7552
59 3363, 3776
57, 64

∴ So the LCM of the given numbers is 2 x 59 x 57 x 64 = 430464

Least Common Multiple of 6726,7552 with GCF Formula

Least Common Multiple of 6726,7552 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 6726,7552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6726,7552) = 118

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

GCF(6726,7552) x common factors =118 x 1 = 118

LCM(6726,7552) = ( 6726 × 7552 ) / 118

LCM(6726,7552) = 50794752 / 118

LCM(6726,7552) = 430464


Lets's calculate GCF of 22,696

2 22, 696
11, 348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430464/2

Therefore the LCM of Fractions 6726/22,7552/696 is 215232

Greatest Common Factor of 22,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,696 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 22,696 . The biggest common factor number is the GCF number.
So the greatest common factor 22,696 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 6726/22, 7552/696

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 6726/22, 7552/696?

Answer: LCM of Numerators as per given numbers 6726/22, 7552/696 is

LCM of Numerators i.e. for 6726,7552 is 430464

GCF of denominators i.e. for 22,696 is 2.

Thus, LCM of Fractions is 215232.Finally, LCM of Fractions for 6726/22, 7552/696 is 215232.