Least Common Multiple of 72/708, 6520/6638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/708, 6520/6638 quickly i.e. 29340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/708, 6520/6638 is 29340.

LCM(72/708, 6520/6638) = 29340

LCM of 72/708, 6520/6638

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 72/708,6520/6638

Given numbers are 72/708,6520/6638

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 72,6520

Least Common Multiple of Numerators i.e. LCM of 72,6520 is 58680.

GCF of Denominators means GCF of 708,6638 as per the given fractions.

GCF of 708,6638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,6520

LCM of Fractions 72/708,6520/6638 is 29340

2 72, 6520
2 36, 3260
2 18, 1630
9, 815

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 815 = 58680

Least Common Multiple of 72,6520 with GCF Formula

Least Common Multiple of 72,6520 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 72,6520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,6520) = 8

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

GCF(72,6520) x common factors =8 x 1 = 8

LCM(72,6520) = ( 72 × 6520 ) / 8

LCM(72,6520) = 469440 / 8

LCM(72,6520) = 58680


Lets's calculate GCF of 708,6638

2 708, 6638
354, 3319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58680/2

Therefore the LCM of Fractions 72/708,6520/6638 is 29340

Greatest Common Factor of 708,6638 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,6638 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 6638

List of positive integer factors of 6638 that divides 6638 without a remainder.

1,2,3319,6638

Greatest Common Factor

We found the factors 708,6638 . The biggest common factor number is the GCF number.
So the greatest common factor 708,6638 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 72/708, 6520/6638

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 72/708, 6520/6638?

Answer: LCM of Numerators as per given numbers 72/708, 6520/6638 is

LCM of Numerators i.e. for 72,6520 is 58680

GCF of denominators i.e. for 708,6638 is 2.

Thus, LCM of Fractions is 29340.Finally, LCM of Fractions for 72/708, 6520/6638 is 29340.