Least Common Multiple of 37/73, 35/31, 11/64, 21/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/73, 35/31, 11/64, 21/649 quickly i.e. 42735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/73, 35/31, 11/64, 21/649 is 42735.

LCM(37/73, 35/31, 11/64, 21/649) = 42735

LCM of 37/73, 35/31, 11/64, 21/649

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 37/73,35/31,11/64,21/649

Given numbers are 37/73,35/31,11/64,21/649

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 37,35,11,21

Least Common Multiple of Numerators i.e. LCM of 37,35,11,21 is 42735.

GCF of Denominators means GCF of 73,31,64,649 as per the given fractions.

GCF of 73,31,64,649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,35,11,21

LCM of Fractions 37/73,35/31,11/64,21/649 is 42735

7 37, 35, 11, 21
37, 5, 11, 3

∴ So the LCM of the given numbers is 7 x 37 x 5 x 11 x 3 = 42735

Least Common Multiple of 37,35,11,21 with GCF Formula

Least Common Multiple of 37,35,11,21 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 37,35,11,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,35,11,21) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(37,35,11,21) x common factors =1 x 7 = 7

LCM(37,35,11,21) = ( 37 × 35 × 11 × 21 ) / 7

LCM(37,35,11,21) = 299145 / 7

LCM(37,35,11,21) = 42735


Lets's calculate GCF of 73,31,64,649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42735/1

Therefore the LCM of Fractions 37/73,35/31,11/64,21/649 is 42735

Greatest Common Factor of 73,31,64,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,31,64,649 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 31

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

1,31

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 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 73,31,64,649 . The biggest common factor number is the GCF number.
So the greatest common factor 73,31,64,649 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 37/73, 35/31, 11/64, 21/649

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 37/73, 35/31, 11/64, 21/649?

Answer: LCM of Numerators as per given numbers 37/73, 35/31, 11/64, 21/649 is

LCM of Numerators i.e. for 37,35,11,21 is 42735

GCF of denominators i.e. for 73,31,64,649 is 1.

Thus, LCM of Fractions is 42735.Finally, LCM of Fractions for 37/73, 35/31, 11/64, 21/649 is 42735.