Least Common Multiple of 572/51, 210/2424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/51, 210/2424 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 572/51, 210/2424 is 20020.

LCM(572/51, 210/2424) = 20020

LCM of 572/51, 210/2424

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 572/51,210/2424

Given numbers are 572/51,210/2424

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 572,210

Least Common Multiple of Numerators i.e. LCM of 572,210 is 60060.

GCF of Denominators means GCF of 51,2424 as per the given fractions.

GCF of 51,2424 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,210

LCM of Fractions 572/51,210/2424 is 20020

2 572, 210
286, 105

∴ So the LCM of the given numbers is 2 x 286 x 105 = 60060

Least Common Multiple of 572,210 with GCF Formula

Least Common Multiple of 572,210 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 572,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,210) = 2

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

GCF(572,210) x common factors =2 x 1 = 2

LCM(572,210) = ( 572 × 210 ) / 2

LCM(572,210) = 120120 / 2

LCM(572,210) = 60060


Lets's calculate GCF of 51,2424

3 51, 2424
17, 808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60060/3

Therefore the LCM of Fractions 572/51,210/2424 is 20020

Greatest Common Factor of 51,2424 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,2424 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424

Greatest Common Factor

We found the factors 51,2424 . The biggest common factor number is the GCF number.
So the greatest common factor 51,2424 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 572/51, 210/2424

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 572/51, 210/2424?

Answer: LCM of Numerators as per given numbers 572/51, 210/2424 is

LCM of Numerators i.e. for 572,210 is 60060

GCF of denominators i.e. for 51,2424 is 3.

Thus, LCM of Fractions is 20020.Finally, LCM of Fractions for 572/51, 210/2424 is 20020.