Least Common Multiple of 572/568, 770/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 572/568, 770/645 quickly i.e. 20020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/568, 770/645 is 20020.

LCM(572/568, 770/645) = 20020

LCM of 572/568, 770/645

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 572/568,770/645

Given numbers are 572/568,770/645

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 572,770

Least Common Multiple of Numerators i.e. LCM of 572,770 is 20020.

GCF of Denominators means GCF of 568,645 as per the given fractions.

GCF of 568,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,770

LCM of Fractions 572/568,770/645 is 20020

2 572, 770
11 286, 385
26, 35

∴ So the LCM of the given numbers is 2 x 11 x 26 x 35 = 20020

Least Common Multiple of 572,770 with GCF Formula

Least Common Multiple of 572,770 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 572,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,770) = 22

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

GCF(572,770) x common factors =22 x 1 = 22

LCM(572,770) = ( 572 × 770 ) / 22

LCM(572,770) = 440440 / 22

LCM(572,770) = 20020


Lets's calculate GCF of 568,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20020/1

Therefore the LCM of Fractions 572/568,770/645 is 20020

Greatest Common Factor of 568,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,645 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 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 568,645 . The biggest common factor number is the GCF number.
So the greatest common factor 568,645 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 572/568, 770/645

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 572/568, 770/645?

Answer: LCM of Numerators as per given numbers 572/568, 770/645 is

LCM of Numerators i.e. for 572,770 is 20020

GCF of denominators i.e. for 568,645 is 1.

Thus, LCM of Fractions is 20020.Finally, LCM of Fractions for 572/568, 770/645 is 20020.