Least Common Multiple of 72/91, 84/238, 336/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/91, 84/238, 336/727 quickly i.e. 1008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/91, 84/238, 336/727 is 1008.

LCM(72/91, 84/238, 336/727) = 1008

LCM of 72/91, 84/238, 336/727

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 72/91,84/238,336/727

Given numbers are 72/91,84/238,336/727

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 72,84,336

Least Common Multiple of Numerators i.e. LCM of 72,84,336 is 1008.

GCF of Denominators means GCF of 91,238,727 as per the given fractions.

GCF of 91,238,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,84,336

LCM of Fractions 72/91,84/238,336/727 is 1008

2 72, 84, 336
2 36, 42, 168
2 18, 21, 84
3 9, 21, 42
7 3, 7, 14
3, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 3 x 1 x 2 = 1008

Least Common Multiple of 72,84,336 with GCF Formula

Least Common Multiple of 72,84,336 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 72,84,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,84,336) = 12

common factors(in case of two or more numbers have common factors) = 168

GCF(72,84,336) x common factors =12 x 168 = 2016

LCM(72,84,336) = ( 72 × 84 × 336 ) / 2016

LCM(72,84,336) = 2032128 / 2016

LCM(72,84,336) = 1008


Lets's calculate GCF of 91,238,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1008/1

Therefore the LCM of Fractions 72/91,84/238,336/727 is 1008

Greatest Common Factor of 91,238,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,238,727 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 91,238,727 . The biggest common factor number is the GCF number.
So the greatest common factor 91,238,727 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 72/91, 84/238, 336/727

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 72/91, 84/238, 336/727?

Answer: LCM of Numerators as per given numbers 72/91, 84/238, 336/727 is

LCM of Numerators i.e. for 72,84,336 is 1008

GCF of denominators i.e. for 91,238,727 is 1.

Thus, LCM of Fractions is 1008.Finally, LCM of Fractions for 72/91, 84/238, 336/727 is 1008.