Least Common Multiple of 7/31, 1/84, 31/53, 57/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/31, 1/84, 31/53, 57/647 quickly i.e. 12369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/31, 1/84, 31/53, 57/647 is 12369.

LCM(7/31, 1/84, 31/53, 57/647) = 12369

LCM of 7/31, 1/84, 31/53, 57/647

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 7/31,1/84,31/53,57/647

Given numbers are 7/31,1/84,31/53,57/647

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 7,1,31,57

Least Common Multiple of Numerators i.e. LCM of 7,1,31,57 is 12369.

GCF of Denominators means GCF of 31,84,53,647 as per the given fractions.

GCF of 31,84,53,647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,1,31,57

LCM of Fractions 7/31,1/84,31/53,57/647 is 12369

Given numbers has no common factors except 1. So, there LCM is their product i.e 12369

Least Common Multiple of 7,1,31,57 with GCF Formula

Least Common Multiple of 7,1,31,57 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 7,1,31,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,1,31,57) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7,1,31,57) x common factors =1 x 1 = 1

LCM(7,1,31,57) = ( 7 × 1 × 31 × 57 ) / 1

LCM(7,1,31,57) = 12369 / 1

LCM(7,1,31,57) = 12369


Lets's calculate GCF of 31,84,53,647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12369/1

Therefore the LCM of Fractions 7/31,1/84,31/53,57/647 is 12369

Greatest Common Factor of 31,84,53,647 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,84,53,647 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

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 53

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

1,53

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Greatest Common Factor

We found the factors 31,84,53,647 . The biggest common factor number is the GCF number.
So the greatest common factor 31,84,53,647 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 7/31, 1/84, 31/53, 57/647

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 7/31, 1/84, 31/53, 57/647?

Answer: LCM of Numerators as per given numbers 7/31, 1/84, 31/53, 57/647 is

LCM of Numerators i.e. for 7,1,31,57 is 12369

GCF of denominators i.e. for 31,84,53,647 is 1.

Thus, LCM of Fractions is 12369.Finally, LCM of Fractions for 7/31, 1/84, 31/53, 57/647 is 12369.