Least Common Multiple of 530/215, 720/821, 269/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/215, 720/821, 269/663 quickly i.e. 10265040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/215, 720/821, 269/663 is 10265040.

LCM(530/215, 720/821, 269/663) = 10265040

LCM of 530/215, 720/821, 269/663

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 530/215,720/821,269/663

Given numbers are 530/215,720/821,269/663

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 530,720,269

Least Common Multiple of Numerators i.e. LCM of 530,720,269 is 10265040.

GCF of Denominators means GCF of 215,821,663 as per the given fractions.

GCF of 215,821,663 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,720,269

LCM of Fractions 530/215,720/821,269/663 is 10265040

2 530, 720, 269
5 265, 360, 269
53, 72, 269

∴ So the LCM of the given numbers is 2 x 5 x 53 x 72 x 269 = 10265040

Least Common Multiple of 530,720,269 with GCF Formula

Least Common Multiple of 530,720,269 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 530,720,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,720,269) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(530,720,269) x common factors =1 x 10 = 10

LCM(530,720,269) = ( 530 × 720 × 269 ) / 10

LCM(530,720,269) = 102650400 / 10

LCM(530,720,269) = 10265040


Lets's calculate GCF of 215,821,663

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10265040/1

Therefore the LCM of Fractions 530/215,720/821,269/663 is 10265040

Greatest Common Factor of 215,821,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,821,663 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 215,821,663 . The biggest common factor number is the GCF number.
So the greatest common factor 215,821,663 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 530/215, 720/821, 269/663

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 530/215, 720/821, 269/663?

Answer: LCM of Numerators as per given numbers 530/215, 720/821, 269/663 is

LCM of Numerators i.e. for 530,720,269 is 10265040

GCF of denominators i.e. for 215,821,663 is 1.

Thus, LCM of Fractions is 10265040.Finally, LCM of Fractions for 530/215, 720/821, 269/663 is 10265040.