Least Common Multiple of 72/76, 14/90, 431/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/76, 14/90, 431/930 quickly i.e. 108612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/76, 14/90, 431/930 is 108612.

LCM(72/76, 14/90, 431/930) = 108612

LCM of 72/76, 14/90, 431/930

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 72/76,14/90,431/930

Given numbers are 72/76,14/90,431/930

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 72,14,431

Least Common Multiple of Numerators i.e. LCM of 72,14,431 is 217224.

GCF of Denominators means GCF of 76,90,930 as per the given fractions.

GCF of 76,90,930 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,14,431

LCM of Fractions 72/76,14/90,431/930 is 108612

2 72, 14, 431
36, 7, 431

∴ So the LCM of the given numbers is 2 x 36 x 7 x 431 = 217224

Least Common Multiple of 72,14,431 with GCF Formula

Least Common Multiple of 72,14,431 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 72,14,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,14,431) = 1

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

GCF(72,14,431) x common factors =1 x 2 = 2

LCM(72,14,431) = ( 72 × 14 × 431 ) / 2

LCM(72,14,431) = 434448 / 2

LCM(72,14,431) = 217224


Lets's calculate GCF of 76,90,930

2 76, 90, 930
38, 45, 465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217224/2

Therefore the LCM of Fractions 72/76,14/90,431/930 is 108612

Greatest Common Factor of 76,90,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,90,930 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 76,90,930 . The biggest common factor number is the GCF number.
So the greatest common factor 76,90,930 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 72/76, 14/90, 431/930

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 72/76, 14/90, 431/930?

Answer: LCM of Numerators as per given numbers 72/76, 14/90, 431/930 is

LCM of Numerators i.e. for 72,14,431 is 217224

GCF of denominators i.e. for 76,90,930 is 2.

Thus, LCM of Fractions is 108612.Finally, LCM of Fractions for 72/76, 14/90, 431/930 is 108612.