Least Common Multiple of 81/72, 332/51, 650/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/72, 332/51, 650/746 quickly i.e. 8739900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/72, 332/51, 650/746 is 8739900.

LCM(81/72, 332/51, 650/746) = 8739900

LCM of 81/72, 332/51, 650/746

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 81/72,332/51,650/746

Given numbers are 81/72,332/51,650/746

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 81,332,650

Least Common Multiple of Numerators i.e. LCM of 81,332,650 is 8739900.

GCF of Denominators means GCF of 72,51,746 as per the given fractions.

GCF of 72,51,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,332,650

LCM of Fractions 81/72,332/51,650/746 is 8739900

2 81, 332, 650
81, 166, 325

∴ So the LCM of the given numbers is 2 x 81 x 166 x 325 = 8739900

Least Common Multiple of 81,332,650 with GCF Formula

Least Common Multiple of 81,332,650 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 81,332,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,332,650) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(81,332,650) x common factors =1 x 2 = 2

LCM(81,332,650) = ( 81 × 332 × 650 ) / 2

LCM(81,332,650) = 17479800 / 2

LCM(81,332,650) = 8739900


Lets's calculate GCF of 72,51,746

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8739900/1

Therefore the LCM of Fractions 81/72,332/51,650/746 is 8739900

Greatest Common Factor of 72,51,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,51,746 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 72,51,746 . The biggest common factor number is the GCF number.
So the greatest common factor 72,51,746 is 1.


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 81/72, 332/51, 650/746

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 81/72, 332/51, 650/746?

Answer: LCM of Numerators as per given numbers 81/72, 332/51, 650/746 is

LCM of Numerators i.e. for 81,332,650 is 8739900

GCF of denominators i.e. for 72,51,746 is 1.

Thus, LCM of Fractions is 8739900.Finally, LCM of Fractions for 81/72, 332/51, 650/746 is 8739900.