Least Common Multiple of 35/872, 49/976, 456/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/872, 49/976, 456/731 quickly i.e. 111720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/872, 49/976, 456/731 is 111720.

LCM(35/872, 49/976, 456/731) = 111720

LCM of 35/872, 49/976, 456/731

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 35/872,49/976,456/731

Given numbers are 35/872,49/976,456/731

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 35,49,456

Least Common Multiple of Numerators i.e. LCM of 35,49,456 is 111720.

GCF of Denominators means GCF of 872,976,731 as per the given fractions.

GCF of 872,976,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,49,456

LCM of Fractions 35/872,49/976,456/731 is 111720

7 35, 49, 456
5, 7, 456

∴ So the LCM of the given numbers is 7 x 5 x 7 x 456 = 111720

Least Common Multiple of 35,49,456 with GCF Formula

Least Common Multiple of 35,49,456 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 35,49,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,49,456) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,49,456) x common factors =1 x 7 = 7

LCM(35,49,456) = ( 35 × 49 × 456 ) / 7

LCM(35,49,456) = 782040 / 7

LCM(35,49,456) = 111720


Lets's calculate GCF of 872,976,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111720/1

Therefore the LCM of Fractions 35/872,49/976,456/731 is 111720

Greatest Common Factor of 872,976,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,976,731 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 872,976,731 . The biggest common factor number is the GCF number.
So the greatest common factor 872,976,731 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 35/872, 49/976, 456/731

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 35/872, 49/976, 456/731?

Answer: LCM of Numerators as per given numbers 35/872, 49/976, 456/731 is

LCM of Numerators i.e. for 35,49,456 is 111720

GCF of denominators i.e. for 872,976,731 is 1.

Thus, LCM of Fractions is 111720.Finally, LCM of Fractions for 35/872, 49/976, 456/731 is 111720.