Least Common Multiple of 73/15, 57/53, 36/34, 31/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/15, 57/53, 36/34, 31/718 quickly i.e. 1547892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/15, 57/53, 36/34, 31/718 is 1547892.

LCM(73/15, 57/53, 36/34, 31/718) = 1547892

LCM of 73/15, 57/53, 36/34, 31/718

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 73/15,57/53,36/34,31/718

Given numbers are 73/15,57/53,36/34,31/718

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 73,57,36,31

Least Common Multiple of Numerators i.e. LCM of 73,57,36,31 is 1547892.

GCF of Denominators means GCF of 15,53,34,718 as per the given fractions.

GCF of 15,53,34,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,57,36,31

LCM of Fractions 73/15,57/53,36/34,31/718 is 1547892

3 73, 57, 36, 31
73, 19, 12, 31

∴ So the LCM of the given numbers is 3 x 73 x 19 x 12 x 31 = 1547892

Least Common Multiple of 73,57,36,31 with GCF Formula

Least Common Multiple of 73,57,36,31 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 73,57,36,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,57,36,31) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(73,57,36,31) x common factors =1 x 3 = 3

LCM(73,57,36,31) = ( 73 × 57 × 36 × 31 ) / 3

LCM(73,57,36,31) = 4643676 / 3

LCM(73,57,36,31) = 1547892


Lets's calculate GCF of 15,53,34,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1547892/1

Therefore the LCM of Fractions 73/15,57/53,36/34,31/718 is 1547892

Greatest Common Factor of 15,53,34,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,53,34,718 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 15,53,34,718 . The biggest common factor number is the GCF number.
So the greatest common factor 15,53,34,718 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 73/15, 57/53, 36/34, 31/718

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 73/15, 57/53, 36/34, 31/718?

Answer: LCM of Numerators as per given numbers 73/15, 57/53, 36/34, 31/718 is

LCM of Numerators i.e. for 73,57,36,31 is 1547892

GCF of denominators i.e. for 15,53,34,718 is 1.

Thus, LCM of Fractions is 1547892.Finally, LCM of Fractions for 73/15, 57/53, 36/34, 31/718 is 1547892.