Least Common Multiple of 31/86, 12/902, 944/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/86, 12/902, 944/805 quickly i.e. 87792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/86, 12/902, 944/805 is 87792.

LCM(31/86, 12/902, 944/805) = 87792

LCM of 31/86, 12/902, 944/805

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 31/86,12/902,944/805

Given numbers are 31/86,12/902,944/805

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 31,12,944

Least Common Multiple of Numerators i.e. LCM of 31,12,944 is 87792.

GCF of Denominators means GCF of 86,902,805 as per the given fractions.

GCF of 86,902,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,12,944

LCM of Fractions 31/86,12/902,944/805 is 87792

2 31, 12, 944
2 31, 6, 472
31, 3, 236

∴ So the LCM of the given numbers is 2 x 2 x 31 x 3 x 236 = 87792

Least Common Multiple of 31,12,944 with GCF Formula

Least Common Multiple of 31,12,944 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 31,12,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,12,944) = 1

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

GCF(31,12,944) x common factors =1 x 4 = 4

LCM(31,12,944) = ( 31 × 12 × 944 ) / 4

LCM(31,12,944) = 351168 / 4

LCM(31,12,944) = 87792


Lets's calculate GCF of 86,902,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87792/1

Therefore the LCM of Fractions 31/86,12/902,944/805 is 87792

Greatest Common Factor of 86,902,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,902,805 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 86,902,805 . The biggest common factor number is the GCF number.
So the greatest common factor 86,902,805 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 31/86, 12/902, 944/805

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 31/86, 12/902, 944/805?

Answer: LCM of Numerators as per given numbers 31/86, 12/902, 944/805 is

LCM of Numerators i.e. for 31,12,944 is 87792

GCF of denominators i.e. for 86,902,805 is 1.

Thus, LCM of Fractions is 87792.Finally, LCM of Fractions for 31/86, 12/902, 944/805 is 87792.