Least Common Multiple of 96/37, 64/84, 992/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/37, 64/84, 992/307 quickly i.e. 5952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/37, 64/84, 992/307 is 5952.

LCM(96/37, 64/84, 992/307) = 5952

LCM of 96/37, 64/84, 992/307

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 96/37,64/84,992/307

Given numbers are 96/37,64/84,992/307

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 96,64,992

Least Common Multiple of Numerators i.e. LCM of 96,64,992 is 5952.

GCF of Denominators means GCF of 37,84,307 as per the given fractions.

GCF of 37,84,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,64,992

LCM of Fractions 96/37,64/84,992/307 is 5952

2 96, 64, 992
2 48, 32, 496
2 24, 16, 248
2 12, 8, 124
2 6, 4, 62
3, 2, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 2 x 31 = 5952

Least Common Multiple of 96,64,992 with GCF Formula

Least Common Multiple of 96,64,992 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 96,64,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,64,992) = 32

common factors(in case of two or more numbers have common factors) = 32

GCF(96,64,992) x common factors =32 x 32 = 1024

LCM(96,64,992) = ( 96 × 64 × 992 ) / 1024

LCM(96,64,992) = 6094848 / 1024

LCM(96,64,992) = 5952


Lets's calculate GCF of 37,84,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5952/1

Therefore the LCM of Fractions 96/37,64/84,992/307 is 5952

Greatest Common Factor of 37,84,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,84,307 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 37,84,307 . The biggest common factor number is the GCF number.
So the greatest common factor 37,84,307 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 96/37, 64/84, 992/307

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 96/37, 64/84, 992/307?

Answer: LCM of Numerators as per given numbers 96/37, 64/84, 992/307 is

LCM of Numerators i.e. for 96,64,992 is 5952

GCF of denominators i.e. for 37,84,307 is 1.

Thus, LCM of Fractions is 5952.Finally, LCM of Fractions for 96/37, 64/84, 992/307 is 5952.