Least Common Multiple of 210/568, 1363/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/568, 1363/742 quickly i.e. 143115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/568, 1363/742 is 143115.

LCM(210/568, 1363/742) = 143115

LCM of 210/568, 1363/742

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 210/568,1363/742

Given numbers are 210/568,1363/742

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 210,1363

Least Common Multiple of Numerators i.e. LCM of 210,1363 is 286230.

GCF of Denominators means GCF of 568,742 as per the given fractions.

GCF of 568,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,1363

LCM of Fractions 210/568,1363/742 is 143115

Given numbers has no common factors except 1. So, there LCM is their product i.e 286230

Least Common Multiple of 210,1363 with GCF Formula

Least Common Multiple of 210,1363 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 210,1363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,1363) = 1

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

GCF(210,1363) x common factors =1 x 1 = 1

LCM(210,1363) = ( 210 × 1363 ) / 1

LCM(210,1363) = 286230 / 1

LCM(210,1363) = 286230


Lets's calculate GCF of 568,742

2 568, 742
284, 371

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286230/2

Therefore the LCM of Fractions 210/568,1363/742 is 143115

Greatest Common Factor of 568,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,742 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 568,742 . The biggest common factor number is the GCF number.
So the greatest common factor 568,742 is 2.


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 210/568, 1363/742

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 210/568, 1363/742?

Answer: LCM of Numerators as per given numbers 210/568, 1363/742 is

LCM of Numerators i.e. for 210,1363 is 286230

GCF of denominators i.e. for 568,742 is 2.

Thus, LCM of Fractions is 143115.Finally, LCM of Fractions for 210/568, 1363/742 is 143115.