Least Common Multiple of 916/643, 755/467, 575/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 916/643, 755/467, 575/767 quickly i.e. 79531700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 916/643, 755/467, 575/767 is 79531700.

LCM(916/643, 755/467, 575/767) = 79531700

LCM of 916/643, 755/467, 575/767

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 916/643,755/467,575/767

Given numbers are 916/643,755/467,575/767

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 916,755,575

Least Common Multiple of Numerators i.e. LCM of 916,755,575 is 79531700.

GCF of Denominators means GCF of 643,467,767 as per the given fractions.

GCF of 643,467,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 916,755,575

LCM of Fractions 916/643,755/467,575/767 is 79531700

5 916, 755, 575
916, 151, 115

∴ So the LCM of the given numbers is 5 x 916 x 151 x 115 = 79531700

Least Common Multiple of 916,755,575 with GCF Formula

Least Common Multiple of 916,755,575 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 916,755,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,755,575) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(916,755,575) x common factors =1 x 5 = 5

LCM(916,755,575) = ( 916 × 755 × 575 ) / 5

LCM(916,755,575) = 397658500 / 5

LCM(916,755,575) = 79531700


Lets's calculate GCF of 643,467,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79531700/1

Therefore the LCM of Fractions 916/643,755/467,575/767 is 79531700

Greatest Common Factor of 643,467,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,467,767 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 643,467,767 . The biggest common factor number is the GCF number.
So the greatest common factor 643,467,767 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 916/643, 755/467, 575/767

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 916/643, 755/467, 575/767?

Answer: LCM of Numerators as per given numbers 916/643, 755/467, 575/767 is

LCM of Numerators i.e. for 916,755,575 is 79531700

GCF of denominators i.e. for 643,467,767 is 1.

Thus, LCM of Fractions is 79531700.Finally, LCM of Fractions for 916/643, 755/467, 575/767 is 79531700.