Least Common Multiple of 564/153, 7241/3030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/153, 7241/3030 quickly i.e. 1361308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/153, 7241/3030 is 1361308.

LCM(564/153, 7241/3030) = 1361308

LCM of 564/153, 7241/3030

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 564/153,7241/3030

Given numbers are 564/153,7241/3030

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 564,7241

Least Common Multiple of Numerators i.e. LCM of 564,7241 is 4083924.

GCF of Denominators means GCF of 153,3030 as per the given fractions.

GCF of 153,3030 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,7241

LCM of Fractions 564/153,7241/3030 is 1361308

Given numbers has no common factors except 1. So, there LCM is their product i.e 4083924

Least Common Multiple of 564,7241 with GCF Formula

Least Common Multiple of 564,7241 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 564,7241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,7241) = 1

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

GCF(564,7241) x common factors =1 x 1 = 1

LCM(564,7241) = ( 564 × 7241 ) / 1

LCM(564,7241) = 4083924 / 1

LCM(564,7241) = 4083924


Lets's calculate GCF of 153,3030

3 153, 3030
51, 1010

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4083924/3

Therefore the LCM of Fractions 564/153,7241/3030 is 1361308

Greatest Common Factor of 153,3030 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,3030 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030

Greatest Common Factor

We found the factors 153,3030 . The biggest common factor number is the GCF number.
So the greatest common factor 153,3030 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 564/153, 7241/3030

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 564/153, 7241/3030?

Answer: LCM of Numerators as per given numbers 564/153, 7241/3030 is

LCM of Numerators i.e. for 564,7241 is 4083924

GCF of denominators i.e. for 153,3030 is 3.

Thus, LCM of Fractions is 1361308.Finally, LCM of Fractions for 564/153, 7241/3030 is 1361308.