Least Common Multiple of 530/242, 103/419, 605/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/242, 103/419, 605/813 quickly i.e. 6605390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/242, 103/419, 605/813 is 6605390.

LCM(530/242, 103/419, 605/813) = 6605390

LCM of 530/242, 103/419, 605/813

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 530/242,103/419,605/813

Given numbers are 530/242,103/419,605/813

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 530,103,605

Least Common Multiple of Numerators i.e. LCM of 530,103,605 is 6605390.

GCF of Denominators means GCF of 242,419,813 as per the given fractions.

GCF of 242,419,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,103,605

LCM of Fractions 530/242,103/419,605/813 is 6605390

5 530, 103, 605
106, 103, 121

∴ So the LCM of the given numbers is 5 x 106 x 103 x 121 = 6605390

Least Common Multiple of 530,103,605 with GCF Formula

Least Common Multiple of 530,103,605 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 530,103,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,103,605) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(530,103,605) x common factors =1 x 5 = 5

LCM(530,103,605) = ( 530 × 103 × 605 ) / 5

LCM(530,103,605) = 33026950 / 5

LCM(530,103,605) = 6605390


Lets's calculate GCF of 242,419,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6605390/1

Therefore the LCM of Fractions 530/242,103/419,605/813 is 6605390

Greatest Common Factor of 242,419,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,419,813 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 242,419,813 . The biggest common factor number is the GCF number.
So the greatest common factor 242,419,813 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 530/242, 103/419, 605/813

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 530/242, 103/419, 605/813?

Answer: LCM of Numerators as per given numbers 530/242, 103/419, 605/813 is

LCM of Numerators i.e. for 530,103,605 is 6605390

GCF of denominators i.e. for 242,419,813 is 1.

Thus, LCM of Fractions is 6605390.Finally, LCM of Fractions for 530/242, 103/419, 605/813 is 6605390.