Least Common Multiple of 572/513, 1693/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/513, 1693/735 quickly i.e. 968396/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/513, 1693/735 is 968396/3.

LCM(572/513, 1693/735) = 968396/3

LCM of 572/513, 1693/735

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 572/513,1693/735

Given numbers are 572/513,1693/735

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 572,1693

Least Common Multiple of Numerators i.e. LCM of 572,1693 is 968396.

GCF of Denominators means GCF of 513,735 as per the given fractions.

GCF of 513,735 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,1693

LCM of Fractions 572/513,1693/735 is 968396/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 968396

Least Common Multiple of 572,1693 with GCF Formula

Least Common Multiple of 572,1693 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 572,1693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,1693) = 1

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

GCF(572,1693) x common factors =1 x 1 = 1

LCM(572,1693) = ( 572 × 1693 ) / 1

LCM(572,1693) = 968396 / 1

LCM(572,1693) = 968396


Lets's calculate GCF of 513,735

3 513, 735
171, 245

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 968396/3

Therefore the LCM of Fractions 572/513,1693/735 is 968396/3

Greatest Common Factor of 513,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,735 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 513,735 . The biggest common factor number is the GCF number.
So the greatest common factor 513,735 is 3.


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 572/513, 1693/735

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 572/513, 1693/735?

Answer: LCM of Numerators as per given numbers 572/513, 1693/735 is

LCM of Numerators i.e. for 572,1693 is 968396

GCF of denominators i.e. for 513,735 is 3.

Thus, LCM of Fractions is 968396/3.Finally, LCM of Fractions for 572/513, 1693/735 is 968396/3.