Least Common Multiple of 32/35, 31/336, 151/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/35, 31/336, 151/165 quickly i.e. 149792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/35, 31/336, 151/165 is 149792.

LCM(32/35, 31/336, 151/165) = 149792

LCM of 32/35, 31/336, 151/165

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 32/35,31/336,151/165

Given numbers are 32/35,31/336,151/165

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 32,31,151

Least Common Multiple of Numerators i.e. LCM of 32,31,151 is 149792.

GCF of Denominators means GCF of 35,336,165 as per the given fractions.

GCF of 35,336,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,31,151

LCM of Fractions 32/35,31/336,151/165 is 149792

Given numbers has no common factors except 1. So, there LCM is their product i.e 149792

Least Common Multiple of 32,31,151 with GCF Formula

Least Common Multiple of 32,31,151 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 32,31,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,31,151) = 1

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

GCF(32,31,151) x common factors =1 x 1 = 1

LCM(32,31,151) = ( 32 × 31 × 151 ) / 1

LCM(32,31,151) = 149792 / 1

LCM(32,31,151) = 149792


Lets's calculate GCF of 35,336,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149792/1

Therefore the LCM of Fractions 32/35,31/336,151/165 is 149792

Greatest Common Factor of 35,336,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,336,165 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

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 35,336,165 . The biggest common factor number is the GCF number.
So the greatest common factor 35,336,165 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 32/35, 31/336, 151/165

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 32/35, 31/336, 151/165?

Answer: LCM of Numerators as per given numbers 32/35, 31/336, 151/165 is

LCM of Numerators i.e. for 32,31,151 is 149792

GCF of denominators i.e. for 35,336,165 is 1.

Thus, LCM of Fractions is 149792.Finally, LCM of Fractions for 32/35, 31/336, 151/165 is 149792.