Least Common Multiple of 31/91, 86/535, 895/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/91, 86/535, 895/165 quickly i.e. 2386070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/91, 86/535, 895/165 is 2386070.

LCM(31/91, 86/535, 895/165) = 2386070

LCM of 31/91, 86/535, 895/165

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 31/91,86/535,895/165

Given numbers are 31/91,86/535,895/165

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 31,86,895

Least Common Multiple of Numerators i.e. LCM of 31,86,895 is 2386070.

GCF of Denominators means GCF of 91,535,165 as per the given fractions.

GCF of 91,535,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,86,895

LCM of Fractions 31/91,86/535,895/165 is 2386070

Given numbers has no common factors except 1. So, there LCM is their product i.e 2386070

Least Common Multiple of 31,86,895 with GCF Formula

Least Common Multiple of 31,86,895 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 31,86,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,86,895) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,86,895) x common factors =1 x 1 = 1

LCM(31,86,895) = ( 31 × 86 × 895 ) / 1

LCM(31,86,895) = 2386070 / 1

LCM(31,86,895) = 2386070


Lets's calculate GCF of 91,535,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2386070/1

Therefore the LCM of Fractions 31/91,86/535,895/165 is 2386070

Greatest Common Factor of 91,535,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,535,165 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 91,535,165 . The biggest common factor number is the GCF number.
So the greatest common factor 91,535,165 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/91, 86/535, 895/165

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 31/91, 86/535, 895/165?

Answer: LCM of Numerators as per given numbers 31/91, 86/535, 895/165 is

LCM of Numerators i.e. for 31,86,895 is 2386070

GCF of denominators i.e. for 91,535,165 is 1.

Thus, LCM of Fractions is 2386070.Finally, LCM of Fractions for 31/91, 86/535, 895/165 is 2386070.