Least Common Multiple of 96/971, 8016/6412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/971, 8016/6412 quickly i.e. 16032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/971, 8016/6412 is 16032.

LCM(96/971, 8016/6412) = 16032

LCM of 96/971, 8016/6412

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 96/971,8016/6412

Given numbers are 96/971,8016/6412

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 96,8016

Least Common Multiple of Numerators i.e. LCM of 96,8016 is 16032.

GCF of Denominators means GCF of 971,6412 as per the given fractions.

GCF of 971,6412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,8016

LCM of Fractions 96/971,8016/6412 is 16032

2 96, 8016
2 48, 4008
2 24, 2004
2 12, 1002
3 6, 501
2, 167

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 167 = 16032

Least Common Multiple of 96,8016 with GCF Formula

Least Common Multiple of 96,8016 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 96,8016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,8016) = 48

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

GCF(96,8016) x common factors =48 x 1 = 48

LCM(96,8016) = ( 96 × 8016 ) / 48

LCM(96,8016) = 769536 / 48

LCM(96,8016) = 16032


Lets's calculate GCF of 971,6412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16032/1

Therefore the LCM of Fractions 96/971,8016/6412 is 16032

Greatest Common Factor of 971,6412 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,6412 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 6412

List of positive integer factors of 6412 that divides 6412 without a remainder.

1,2,4,7,14,28,229,458,916,1603,3206,6412

Greatest Common Factor

We found the factors 971,6412 . The biggest common factor number is the GCF number.
So the greatest common factor 971,6412 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 96/971, 8016/6412

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 96/971, 8016/6412?

Answer: LCM of Numerators as per given numbers 96/971, 8016/6412 is

LCM of Numerators i.e. for 96,8016 is 16032

GCF of denominators i.e. for 971,6412 is 1.

Thus, LCM of Fractions is 16032.Finally, LCM of Fractions for 96/971, 8016/6412 is 16032.