Least Common Multiple of 96/812, 6538/3953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/812, 6538/3953 quickly i.e. 313824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/812, 6538/3953 is 313824.

LCM(96/812, 6538/3953) = 313824

LCM of 96/812, 6538/3953

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 96/812,6538/3953

Given numbers are 96/812,6538/3953

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 96,6538

Least Common Multiple of Numerators i.e. LCM of 96,6538 is 313824.

GCF of Denominators means GCF of 812,3953 as per the given fractions.

GCF of 812,3953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,6538

LCM of Fractions 96/812,6538/3953 is 313824

2 96, 6538
48, 3269

∴ So the LCM of the given numbers is 2 x 48 x 3269 = 313824

Least Common Multiple of 96,6538 with GCF Formula

Least Common Multiple of 96,6538 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 96,6538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,6538) = 2

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

GCF(96,6538) x common factors =2 x 1 = 2

LCM(96,6538) = ( 96 × 6538 ) / 2

LCM(96,6538) = 627648 / 2

LCM(96,6538) = 313824


Lets's calculate GCF of 812,3953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313824/1

Therefore the LCM of Fractions 96/812,6538/3953 is 313824

Greatest Common Factor of 812,3953 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,3953 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 3953

List of positive integer factors of 3953 that divides 3953 without a remainder.

1,59,67,3953

Greatest Common Factor

We found the factors 812,3953 . The biggest common factor number is the GCF number.
So the greatest common factor 812,3953 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 96/812, 6538/3953

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 96/812, 6538/3953?

Answer: LCM of Numerators as per given numbers 96/812, 6538/3953 is

LCM of Numerators i.e. for 96,6538 is 313824

GCF of denominators i.e. for 812,3953 is 1.

Thus, LCM of Fractions is 313824.Finally, LCM of Fractions for 96/812, 6538/3953 is 313824.