Least Common Multiple of 31/80, 641/98, 961/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/80, 641/98, 961/655 quickly i.e. 616001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/80, 641/98, 961/655 is 616001.

LCM(31/80, 641/98, 961/655) = 616001

LCM of 31/80, 641/98, 961/655

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 31/80,641/98,961/655

Given numbers are 31/80,641/98,961/655

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 31,641,961

Least Common Multiple of Numerators i.e. LCM of 31,641,961 is 616001.

GCF of Denominators means GCF of 80,98,655 as per the given fractions.

GCF of 80,98,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,641,961

LCM of Fractions 31/80,641/98,961/655 is 616001

31 31, 641, 961
1, 641, 31

∴ So the LCM of the given numbers is 31 x 1 x 641 x 31 = 616001

Least Common Multiple of 31,641,961 with GCF Formula

Least Common Multiple of 31,641,961 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 31,641,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,641,961) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,641,961) x common factors =1 x 31 = 31

LCM(31,641,961) = ( 31 × 641 × 961 ) / 31

LCM(31,641,961) = 19096031 / 31

LCM(31,641,961) = 616001


Lets's calculate GCF of 80,98,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 616001/1

Therefore the LCM of Fractions 31/80,641/98,961/655 is 616001

Greatest Common Factor of 80,98,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,98,655 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 80,98,655 . The biggest common factor number is the GCF number.
So the greatest common factor 80,98,655 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/80, 641/98, 961/655

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 31/80, 641/98, 961/655?

Answer: LCM of Numerators as per given numbers 31/80, 641/98, 961/655 is

LCM of Numerators i.e. for 31,641,961 is 616001

GCF of denominators i.e. for 80,98,655 is 1.

Thus, LCM of Fractions is 616001.Finally, LCM of Fractions for 31/80, 641/98, 961/655 is 616001.