Least Common Multiple of 72/90, 83/96, 342/93

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/90, 83/96, 342/93 quickly i.e. 37848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/90, 83/96, 342/93 is 37848.

LCM(72/90, 83/96, 342/93) = 37848

LCM of 72/90, 83/96, 342/93

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 72/90,83/96,342/93

Given numbers are 72/90,83/96,342/93

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 72,83,342

Least Common Multiple of Numerators i.e. LCM of 72,83,342 is 113544.

GCF of Denominators means GCF of 90,96,93 as per the given fractions.

GCF of 90,96,93 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,83,342

LCM of Fractions 72/90,83/96,342/93 is 37848

2 72, 83, 342
3 36, 83, 171
3 12, 83, 57
4, 83, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 83 x 19 = 113544

Least Common Multiple of 72,83,342 with GCF Formula

Least Common Multiple of 72,83,342 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 72,83,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,83,342) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(72,83,342) x common factors =1 x 18 = 18

LCM(72,83,342) = ( 72 × 83 × 342 ) / 18

LCM(72,83,342) = 2043792 / 18

LCM(72,83,342) = 113544


Lets's calculate GCF of 90,96,93

3 90, 96, 93
30, 32, 31

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113544/3

Therefore the LCM of Fractions 72/90,83/96,342/93 is 37848

Greatest Common Factor of 90,96,93 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,96,93 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Greatest Common Factor

We found the factors 90,96,93 . The biggest common factor number is the GCF number.
So the greatest common factor 90,96,93 is 3.


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 72/90, 83/96, 342/93

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 72/90, 83/96, 342/93?

Answer: LCM of Numerators as per given numbers 72/90, 83/96, 342/93 is

LCM of Numerators i.e. for 72,83,342 is 113544

GCF of denominators i.e. for 90,96,93 is 3.

Thus, LCM of Fractions is 37848.Finally, LCM of Fractions for 72/90, 83/96, 342/93 is 37848.