Least Common Multiple of 312/37, 384/64, 760/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/37, 384/64, 760/99 quickly i.e. 474240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/37, 384/64, 760/99 is 474240.

LCM(312/37, 384/64, 760/99) = 474240

LCM of 312/37, 384/64, 760/99

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 312/37,384/64,760/99

Given numbers are 312/37,384/64,760/99

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 312,384,760

Least Common Multiple of Numerators i.e. LCM of 312,384,760 is 474240.

GCF of Denominators means GCF of 37,64,99 as per the given fractions.

GCF of 37,64,99 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,384,760

LCM of Fractions 312/37,384/64,760/99 is 474240

2 312, 384, 760
2 156, 192, 380
2 78, 96, 190
3 39, 48, 95
13, 16, 95

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 16 x 95 = 474240

Least Common Multiple of 312,384,760 with GCF Formula

Least Common Multiple of 312,384,760 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 312,384,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,384,760) = 8

common factors(in case of two or more numbers have common factors) = 24

GCF(312,384,760) x common factors =8 x 24 = 192

LCM(312,384,760) = ( 312 × 384 × 760 ) / 192

LCM(312,384,760) = 91054080 / 192

LCM(312,384,760) = 474240


Lets's calculate GCF of 37,64,99

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474240/1

Therefore the LCM of Fractions 312/37,384/64,760/99 is 474240

Greatest Common Factor of 37,64,99 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,64,99 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Greatest Common Factor

We found the factors 37,64,99 . The biggest common factor number is the GCF number.
So the greatest common factor 37,64,99 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 312/37, 384/64, 760/99

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 312/37, 384/64, 760/99?

Answer: LCM of Numerators as per given numbers 312/37, 384/64, 760/99 is

LCM of Numerators i.e. for 312,384,760 is 474240

GCF of denominators i.e. for 37,64,99 is 1.

Thus, LCM of Fractions is 474240.Finally, LCM of Fractions for 312/37, 384/64, 760/99 is 474240.