Least Common Multiple of 1971/537, 6953/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1971/537, 6953/995 quickly i.e. 13704363 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1971/537, 6953/995 is 13704363.

LCM(1971/537, 6953/995) = 13704363

LCM of 1971/537, 6953/995

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 1971/537,6953/995

Given numbers are 1971/537,6953/995

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 1971,6953

Least Common Multiple of Numerators i.e. LCM of 1971,6953 is 13704363.

GCF of Denominators means GCF of 537,995 as per the given fractions.

GCF of 537,995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1971,6953

LCM of Fractions 1971/537,6953/995 is 13704363

Given numbers has no common factors except 1. So, there LCM is their product i.e 13704363

Least Common Multiple of 1971,6953 with GCF Formula

Least Common Multiple of 1971,6953 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 1971,6953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1971,6953) = 1

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

GCF(1971,6953) x common factors =1 x 1 = 1

LCM(1971,6953) = ( 1971 × 6953 ) / 1

LCM(1971,6953) = 13704363 / 1

LCM(1971,6953) = 13704363


Lets's calculate GCF of 537,995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13704363/1

Therefore the LCM of Fractions 1971/537,6953/995 is 13704363

Greatest Common Factor of 537,995 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,995 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors 537,995 . The biggest common factor number is the GCF number.
So the greatest common factor 537,995 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 1971/537, 6953/995

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 1971/537, 6953/995?

Answer: LCM of Numerators as per given numbers 1971/537, 6953/995 is

LCM of Numerators i.e. for 1971,6953 is 13704363

GCF of denominators i.e. for 537,995 is 1.

Thus, LCM of Fractions is 13704363.Finally, LCM of Fractions for 1971/537, 6953/995 is 13704363.