Least Common Multiple of 72/429, 95/318, 110/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/429, 95/318, 110/956 quickly i.e. 75240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/429, 95/318, 110/956 is 75240.

LCM(72/429, 95/318, 110/956) = 75240

LCM of 72/429, 95/318, 110/956

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 72/429,95/318,110/956

Given numbers are 72/429,95/318,110/956

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 72,95,110

Least Common Multiple of Numerators i.e. LCM of 72,95,110 is 75240.

GCF of Denominators means GCF of 429,318,956 as per the given fractions.

GCF of 429,318,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,95,110

LCM of Fractions 72/429,95/318,110/956 is 75240

2 72, 95, 110
5 36, 95, 55
36, 19, 11

∴ So the LCM of the given numbers is 2 x 5 x 36 x 19 x 11 = 75240

Least Common Multiple of 72,95,110 with GCF Formula

Least Common Multiple of 72,95,110 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 72,95,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,95,110) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(72,95,110) x common factors =1 x 10 = 10

LCM(72,95,110) = ( 72 × 95 × 110 ) / 10

LCM(72,95,110) = 752400 / 10

LCM(72,95,110) = 75240


Lets's calculate GCF of 429,318,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75240/1

Therefore the LCM of Fractions 72/429,95/318,110/956 is 75240

Greatest Common Factor of 429,318,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,318,956 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 429,318,956 . The biggest common factor number is the GCF number.
So the greatest common factor 429,318,956 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 72/429, 95/318, 110/956

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 72/429, 95/318, 110/956?

Answer: LCM of Numerators as per given numbers 72/429, 95/318, 110/956 is

LCM of Numerators i.e. for 72,95,110 is 75240

GCF of denominators i.e. for 429,318,956 is 1.

Thus, LCM of Fractions is 75240.Finally, LCM of Fractions for 72/429, 95/318, 110/956 is 75240.