Least Common Multiple of 72/90, 79/109, 214/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/90, 79/109, 214/942 quickly i.e. 608616 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, 79/109, 214/942 is 608616.

LCM(72/90, 79/109, 214/942) = 608616

LCM of 72/90, 79/109, 214/942

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 72/90,79/109,214/942

Given numbers are 72/90,79/109,214/942

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 72,79,214

Least Common Multiple of Numerators i.e. LCM of 72,79,214 is 608616.

GCF of Denominators means GCF of 90,109,942 as per the given fractions.

GCF of 90,109,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,79,214

LCM of Fractions 72/90,79/109,214/942 is 608616

2 72, 79, 214
36, 79, 107

∴ So the LCM of the given numbers is 2 x 36 x 79 x 107 = 608616

Least Common Multiple of 72,79,214 with GCF Formula

Least Common Multiple of 72,79,214 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 72,79,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,79,214) = 1

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

GCF(72,79,214) x common factors =1 x 2 = 2

LCM(72,79,214) = ( 72 × 79 × 214 ) / 2

LCM(72,79,214) = 1217232 / 2

LCM(72,79,214) = 608616


Lets's calculate GCF of 90,109,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608616/1

Therefore the LCM of Fractions 72/90,79/109,214/942 is 608616

Greatest Common Factor of 90,109,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,109,942 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 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 90,109,942 . The biggest common factor number is the GCF number.
So the greatest common factor 90,109,942 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 72/90, 79/109, 214/942

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, 79/109, 214/942?

Answer: LCM of Numerators as per given numbers 72/90, 79/109, 214/942 is

LCM of Numerators i.e. for 72,79,214 is 608616

GCF of denominators i.e. for 90,109,942 is 1.

Thus, LCM of Fractions is 608616.Finally, LCM of Fractions for 72/90, 79/109, 214/942 is 608616.