Least Common Multiple of 761/70, 302/72, 421/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/70, 302/72, 421/918 quickly i.e. 48377531 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/70, 302/72, 421/918 is 48377531.

LCM(761/70, 302/72, 421/918) = 48377531

LCM of 761/70, 302/72, 421/918

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 761/70,302/72,421/918

Given numbers are 761/70,302/72,421/918

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 761,302,421

Least Common Multiple of Numerators i.e. LCM of 761,302,421 is 96755062.

GCF of Denominators means GCF of 70,72,918 as per the given fractions.

GCF of 70,72,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,302,421

LCM of Fractions 761/70,302/72,421/918 is 48377531

Given numbers has no common factors except 1. So, there LCM is their product i.e 96755062

Least Common Multiple of 761,302,421 with GCF Formula

Least Common Multiple of 761,302,421 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 761,302,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,302,421) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(761,302,421) x common factors =1 x 1 = 1

LCM(761,302,421) = ( 761 × 302 × 421 ) / 1

LCM(761,302,421) = 96755062 / 1

LCM(761,302,421) = 96755062


Lets's calculate GCF of 70,72,918

2 70, 72, 918
35, 36, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96755062/2

Therefore the LCM of Fractions 761/70,302/72,421/918 is 48377531

Greatest Common Factor of 70,72,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,72,918 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 70,72,918 . The biggest common factor number is the GCF number.
So the greatest common factor 70,72,918 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 761/70, 302/72, 421/918

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 761/70, 302/72, 421/918?

Answer: LCM of Numerators as per given numbers 761/70, 302/72, 421/918 is

LCM of Numerators i.e. for 761,302,421 is 96755062

GCF of denominators i.e. for 70,72,918 is 2.

Thus, LCM of Fractions is 48377531.Finally, LCM of Fractions for 761/70, 302/72, 421/918 is 48377531.