Least Common Multiple of 64/37, 64/31, 299/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/37, 64/31, 299/713 quickly i.e. 19136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/37, 64/31, 299/713 is 19136.

LCM(64/37, 64/31, 299/713) = 19136

LCM of 64/37, 64/31, 299/713

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 64/37,64/31,299/713

Given numbers are 64/37,64/31,299/713

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 64,64,299

Least Common Multiple of Numerators i.e. LCM of 64,64,299 is 19136.

GCF of Denominators means GCF of 37,31,713 as per the given fractions.

GCF of 37,31,713 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,64,299

LCM of Fractions 64/37,64/31,299/713 is 19136

2 64, 64, 299
2 32, 32, 299
2 16, 16, 299
2 8, 8, 299
2 4, 4, 299
2 2, 2, 299
1, 1, 299

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 1 x 1 x 299 = 19136

Least Common Multiple of 64,64,299 with GCF Formula

Least Common Multiple of 64,64,299 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 64,64,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,64,299) = 1

common factors(in case of two or more numbers have common factors) = 64

GCF(64,64,299) x common factors =1 x 64 = 64

LCM(64,64,299) = ( 64 × 64 × 299 ) / 64

LCM(64,64,299) = 1224704 / 64

LCM(64,64,299) = 19136


Lets's calculate GCF of 37,31,713

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19136/1

Therefore the LCM of Fractions 64/37,64/31,299/713 is 19136

Greatest Common Factor of 37,31,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,31,713 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 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 37,31,713 . The biggest common factor number is the GCF number.
So the greatest common factor 37,31,713 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 64/37, 64/31, 299/713

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 64/37, 64/31, 299/713?

Answer: LCM of Numerators as per given numbers 64/37, 64/31, 299/713 is

LCM of Numerators i.e. for 64,64,299 is 19136

GCF of denominators i.e. for 37,31,713 is 1.

Thus, LCM of Fractions is 19136.Finally, LCM of Fractions for 64/37, 64/31, 299/713 is 19136.