Least Common Multiple of 96/32, 58/71, 906/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/32, 58/71, 906/969 quickly i.e. 420384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/32, 58/71, 906/969 is 420384.

LCM(96/32, 58/71, 906/969) = 420384

LCM of 96/32, 58/71, 906/969

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 96/32,58/71,906/969

Given numbers are 96/32,58/71,906/969

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 96,58,906

Least Common Multiple of Numerators i.e. LCM of 96,58,906 is 420384.

GCF of Denominators means GCF of 32,71,969 as per the given fractions.

GCF of 32,71,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,58,906

LCM of Fractions 96/32,58/71,906/969 is 420384

2 96, 58, 906
3 48, 29, 453
16, 29, 151

∴ So the LCM of the given numbers is 2 x 3 x 16 x 29 x 151 = 420384

Least Common Multiple of 96,58,906 with GCF Formula

Least Common Multiple of 96,58,906 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 96,58,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,58,906) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(96,58,906) x common factors =2 x 6 = 12

LCM(96,58,906) = ( 96 × 58 × 906 ) / 12

LCM(96,58,906) = 5044608 / 12

LCM(96,58,906) = 420384


Lets's calculate GCF of 32,71,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420384/1

Therefore the LCM of Fractions 96/32,58/71,906/969 is 420384

Greatest Common Factor of 32,71,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,71,969 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 32,71,969 . The biggest common factor number is the GCF number.
So the greatest common factor 32,71,969 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 96/32, 58/71, 906/969

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 96/32, 58/71, 906/969?

Answer: LCM of Numerators as per given numbers 96/32, 58/71, 906/969 is

LCM of Numerators i.e. for 96,58,906 is 420384

GCF of denominators i.e. for 32,71,969 is 1.

Thus, LCM of Fractions is 420384.Finally, LCM of Fractions for 96/32, 58/71, 906/969 is 420384.