Least Common Multiple of 7274/72, 2286/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7274/72, 2286/696 quickly i.e. 8314182/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7274/72, 2286/696 is 8314182/24.

LCM(7274/72, 2286/696) = 8314182/24

LCM of 7274/72, 2286/696

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 7274/72,2286/696

Given numbers are 7274/72,2286/696

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 7274,2286

Least Common Multiple of Numerators i.e. LCM of 7274,2286 is 8314182.

GCF of Denominators means GCF of 72,696 as per the given fractions.

GCF of 72,696 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7274,2286

LCM of Fractions 7274/72,2286/696 is 8314182/24

2 7274, 2286
3637, 1143

∴ So the LCM of the given numbers is 2 x 3637 x 1143 = 8314182

Least Common Multiple of 7274,2286 with GCF Formula

Least Common Multiple of 7274,2286 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 7274,2286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7274,2286) = 2

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

GCF(7274,2286) x common factors =2 x 1 = 2

LCM(7274,2286) = ( 7274 × 2286 ) / 2

LCM(7274,2286) = 16628364 / 2

LCM(7274,2286) = 8314182


Lets's calculate GCF of 72,696

2 72, 696
2 36, 348
2 18, 174
3 9, 87
3, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8314182/24

Therefore the LCM of Fractions 7274/72,2286/696 is 8314182/24

Greatest Common Factor of 72,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,696 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 72,696 . The biggest common factor number is the GCF number.
So the greatest common factor 72,696 is 24.


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 7274/72, 2286/696

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 7274/72, 2286/696?

Answer: LCM of Numerators as per given numbers 7274/72, 2286/696 is

LCM of Numerators i.e. for 7274,2286 is 8314182

GCF of denominators i.e. for 72,696 is 24.

Thus, LCM of Fractions is 8314182/24.Finally, LCM of Fractions for 7274/72, 2286/696 is 8314182/24.