Least Common Multiple of 517/21, 143/3512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/21, 143/3512 quickly i.e. 6721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/21, 143/3512 is 6721.

LCM(517/21, 143/3512) = 6721

LCM of 517/21, 143/3512

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 517/21,143/3512

Given numbers are 517/21,143/3512

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 517,143

Least Common Multiple of Numerators i.e. LCM of 517,143 is 6721.

GCF of Denominators means GCF of 21,3512 as per the given fractions.

GCF of 21,3512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,143

LCM of Fractions 517/21,143/3512 is 6721

11 517, 143
47, 13

∴ So the LCM of the given numbers is 11 x 47 x 13 = 6721

Least Common Multiple of 517,143 with GCF Formula

Least Common Multiple of 517,143 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 517,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,143) = 11

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

GCF(517,143) x common factors =11 x 1 = 11

LCM(517,143) = ( 517 × 143 ) / 11

LCM(517,143) = 73931 / 11

LCM(517,143) = 6721


Lets's calculate GCF of 21,3512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6721/1

Therefore the LCM of Fractions 517/21,143/3512 is 6721

Greatest Common Factor of 21,3512 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,3512 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1,2,4,8,439,878,1756,3512

Greatest Common Factor

We found the factors 21,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 21,3512 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 517/21, 143/3512

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 517/21, 143/3512?

Answer: LCM of Numerators as per given numbers 517/21, 143/3512 is

LCM of Numerators i.e. for 517,143 is 6721

GCF of denominators i.e. for 21,3512 is 1.

Thus, LCM of Fractions is 6721.Finally, LCM of Fractions for 517/21, 143/3512 is 6721.