Least Common Multiple of 530/66, 239/60, 563/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/66, 239/60, 563/721 quickly i.e. 71315210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/66, 239/60, 563/721 is 71315210.

LCM(530/66, 239/60, 563/721) = 71315210

LCM of 530/66, 239/60, 563/721

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 530/66,239/60,563/721

Given numbers are 530/66,239/60,563/721

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 530,239,563

Least Common Multiple of Numerators i.e. LCM of 530,239,563 is 71315210.

GCF of Denominators means GCF of 66,60,721 as per the given fractions.

GCF of 66,60,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,239,563

LCM of Fractions 530/66,239/60,563/721 is 71315210

Given numbers has no common factors except 1. So, there LCM is their product i.e 71315210

Least Common Multiple of 530,239,563 with GCF Formula

Least Common Multiple of 530,239,563 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 530,239,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,239,563) = 1

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

GCF(530,239,563) x common factors =1 x 1 = 1

LCM(530,239,563) = ( 530 × 239 × 563 ) / 1

LCM(530,239,563) = 71315210 / 1

LCM(530,239,563) = 71315210


Lets's calculate GCF of 66,60,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71315210/1

Therefore the LCM of Fractions 530/66,239/60,563/721 is 71315210

Greatest Common Factor of 66,60,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,60,721 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 66,60,721 . The biggest common factor number is the GCF number.
So the greatest common factor 66,60,721 is 1.


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 530/66, 239/60, 563/721

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 530/66, 239/60, 563/721?

Answer: LCM of Numerators as per given numbers 530/66, 239/60, 563/721 is

LCM of Numerators i.e. for 530,239,563 is 71315210

GCF of denominators i.e. for 66,60,721 is 1.

Thus, LCM of Fractions is 71315210.Finally, LCM of Fractions for 530/66, 239/60, 563/721 is 71315210.