Least Common Multiple of 8722/32, 7460/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8722/32, 7460/748 quickly i.e. 8133265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8722/32, 7460/748 is 8133265.

LCM(8722/32, 7460/748) = 8133265

LCM of 8722/32, 7460/748

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 8722/32,7460/748

Given numbers are 8722/32,7460/748

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 8722,7460

Least Common Multiple of Numerators i.e. LCM of 8722,7460 is 32533060.

GCF of Denominators means GCF of 32,748 as per the given fractions.

GCF of 32,748 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8722,7460

LCM of Fractions 8722/32,7460/748 is 8133265

2 8722, 7460
4361, 3730

∴ So the LCM of the given numbers is 2 x 4361 x 3730 = 32533060

Least Common Multiple of 8722,7460 with GCF Formula

Least Common Multiple of 8722,7460 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 8722,7460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8722,7460) = 2

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

GCF(8722,7460) x common factors =2 x 1 = 2

LCM(8722,7460) = ( 8722 × 7460 ) / 2

LCM(8722,7460) = 65066120 / 2

LCM(8722,7460) = 32533060


Lets's calculate GCF of 32,748

2 32, 748
2 16, 374
8, 187

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32533060/4

Therefore the LCM of Fractions 8722/32,7460/748 is 8133265

Greatest Common Factor of 32,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,748 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 32,748 . The biggest common factor number is the GCF number.
So the greatest common factor 32,748 is 4.


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 8722/32, 7460/748

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 8722/32, 7460/748?

Answer: LCM of Numerators as per given numbers 8722/32, 7460/748 is

LCM of Numerators i.e. for 8722,7460 is 32533060

GCF of denominators i.e. for 32,748 is 4.

Thus, LCM of Fractions is 8133265.Finally, LCM of Fractions for 8722/32, 7460/748 is 8133265.