Least Common Multiple of 766/72, 722/9436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 766/72, 722/9436 quickly i.e. 276526/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/72, 722/9436 is 276526/4.

LCM(766/72, 722/9436) = 276526/4

LCM of 766/72, 722/9436

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 766/72,722/9436

Given numbers are 766/72,722/9436

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 766,722

Least Common Multiple of Numerators i.e. LCM of 766,722 is 276526.

GCF of Denominators means GCF of 72,9436 as per the given fractions.

GCF of 72,9436 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,722

LCM of Fractions 766/72,722/9436 is 276526/4

2 766, 722
383, 361

∴ So the LCM of the given numbers is 2 x 383 x 361 = 276526

Least Common Multiple of 766,722 with GCF Formula

Least Common Multiple of 766,722 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 766,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,722) = 2

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

GCF(766,722) x common factors =2 x 1 = 2

LCM(766,722) = ( 766 × 722 ) / 2

LCM(766,722) = 553052 / 2

LCM(766,722) = 276526


Lets's calculate GCF of 72,9436

2 72, 9436
2 36, 4718
18, 2359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276526/4

Therefore the LCM of Fractions 766/72,722/9436 is 276526/4

Greatest Common Factor of 72,9436 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,9436 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 9436

List of positive integer factors of 9436 that divides 9436 without a remainder.

1,2,4,7,14,28,337,674,1348,2359,4718,9436

Greatest Common Factor

We found the factors 72,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 72,9436 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 766/72, 722/9436

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 766/72, 722/9436?

Answer: LCM of Numerators as per given numbers 766/72, 722/9436 is

LCM of Numerators i.e. for 766,722 is 276526

GCF of denominators i.e. for 72,9436 is 4.

Thus, LCM of Fractions is 276526/4.Finally, LCM of Fractions for 766/72, 722/9436 is 276526/4.