Least Common Multiple of 78/151, 724/887, 544/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/151, 724/887, 544/763 quickly i.e. 3840096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/151, 724/887, 544/763 is 3840096.

LCM(78/151, 724/887, 544/763) = 3840096

LCM of 78/151, 724/887, 544/763

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 78/151,724/887,544/763

Given numbers are 78/151,724/887,544/763

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 78,724,544

Least Common Multiple of Numerators i.e. LCM of 78,724,544 is 3840096.

GCF of Denominators means GCF of 151,887,763 as per the given fractions.

GCF of 151,887,763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,724,544

LCM of Fractions 78/151,724/887,544/763 is 3840096

2 78, 724, 544
2 39, 362, 272
39, 181, 136

∴ So the LCM of the given numbers is 2 x 2 x 39 x 181 x 136 = 3840096

Least Common Multiple of 78,724,544 with GCF Formula

Least Common Multiple of 78,724,544 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 78,724,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,724,544) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(78,724,544) x common factors =2 x 4 = 8

LCM(78,724,544) = ( 78 × 724 × 544 ) / 8

LCM(78,724,544) = 30720768 / 8

LCM(78,724,544) = 3840096


Lets's calculate GCF of 151,887,763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3840096/1

Therefore the LCM of Fractions 78/151,724/887,544/763 is 3840096

Greatest Common Factor of 151,887,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,887,763 By Matching Biggest Common Factor Method

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1,887

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 151,887,763 . The biggest common factor number is the GCF number.
So the greatest common factor 151,887,763 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 78/151, 724/887, 544/763

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 78/151, 724/887, 544/763?

Answer: LCM of Numerators as per given numbers 78/151, 724/887, 544/763 is

LCM of Numerators i.e. for 78,724,544 is 3840096

GCF of denominators i.e. for 151,887,763 is 1.

Thus, LCM of Fractions is 3840096.Finally, LCM of Fractions for 78/151, 724/887, 544/763 is 3840096.