Least Common Multiple of 2511/31, 1563/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2511/31, 1563/682 quickly i.e. 42201 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2511/31, 1563/682 is 42201.

LCM(2511/31, 1563/682) = 42201

LCM of 2511/31, 1563/682

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 2511/31,1563/682

Given numbers are 2511/31,1563/682

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 2511,1563

Least Common Multiple of Numerators i.e. LCM of 2511,1563 is 1308231.

GCF of Denominators means GCF of 31,682 as per the given fractions.

GCF of 31,682 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2511,1563

LCM of Fractions 2511/31,1563/682 is 42201

3 2511, 1563
837, 521

∴ So the LCM of the given numbers is 3 x 837 x 521 = 1308231

Least Common Multiple of 2511,1563 with GCF Formula

Least Common Multiple of 2511,1563 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 2511,1563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2511,1563) = 3

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

GCF(2511,1563) x common factors =3 x 1 = 3

LCM(2511,1563) = ( 2511 × 1563 ) / 3

LCM(2511,1563) = 3924693 / 3

LCM(2511,1563) = 1308231


Lets's calculate GCF of 31,682

31 31, 682
1, 22

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1308231/31

Therefore the LCM of Fractions 2511/31,1563/682 is 42201

Greatest Common Factor of 31,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,682 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 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 31,682 . The biggest common factor number is the GCF number.
So the greatest common factor 31,682 is 31.


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 2511/31, 1563/682

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 2511/31, 1563/682?

Answer: LCM of Numerators as per given numbers 2511/31, 1563/682 is

LCM of Numerators i.e. for 2511,1563 is 1308231

GCF of denominators i.e. for 31,682 is 31.

Thus, LCM of Fractions is 42201.Finally, LCM of Fractions for 2511/31, 1563/682 is 42201.