Least Common Multiple of 72/722, 57/644, 766/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/722, 57/644, 766/986 quickly i.e. 261972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/722, 57/644, 766/986 is 261972.

LCM(72/722, 57/644, 766/986) = 261972

LCM of 72/722, 57/644, 766/986

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 72/722,57/644,766/986

Given numbers are 72/722,57/644,766/986

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 72,57,766

Least Common Multiple of Numerators i.e. LCM of 72,57,766 is 523944.

GCF of Denominators means GCF of 722,644,986 as per the given fractions.

GCF of 722,644,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,57,766

LCM of Fractions 72/722,57/644,766/986 is 261972

2 72, 57, 766
3 36, 57, 383
12, 19, 383

∴ So the LCM of the given numbers is 2 x 3 x 12 x 19 x 383 = 523944

Least Common Multiple of 72,57,766 with GCF Formula

Least Common Multiple of 72,57,766 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 72,57,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,57,766) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,57,766) x common factors =1 x 6 = 6

LCM(72,57,766) = ( 72 × 57 × 766 ) / 6

LCM(72,57,766) = 3143664 / 6

LCM(72,57,766) = 523944


Lets's calculate GCF of 722,644,986

2 722, 644, 986
361, 322, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523944/2

Therefore the LCM of Fractions 72/722,57/644,766/986 is 261972

Greatest Common Factor of 722,644,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,644,986 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 722,644,986 . The biggest common factor number is the GCF number.
So the greatest common factor 722,644,986 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 72/722, 57/644, 766/986

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 72/722, 57/644, 766/986?

Answer: LCM of Numerators as per given numbers 72/722, 57/644, 766/986 is

LCM of Numerators i.e. for 72,57,766 is 523944

GCF of denominators i.e. for 722,644,986 is 2.

Thus, LCM of Fractions is 261972.Finally, LCM of Fractions for 72/722, 57/644, 766/986 is 261972.