Least Common Multiple of 2442/230, 5905/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2442/230, 5905/530 quickly i.e. 1442001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2442/230, 5905/530 is 1442001.

LCM(2442/230, 5905/530) = 1442001

LCM of 2442/230, 5905/530

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 2442/230,5905/530

Given numbers are 2442/230,5905/530

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 2442,5905

Least Common Multiple of Numerators i.e. LCM of 2442,5905 is 14420010.

GCF of Denominators means GCF of 230,530 as per the given fractions.

GCF of 230,530 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2442,5905

LCM of Fractions 2442/230,5905/530 is 1442001

Given numbers has no common factors except 1. So, there LCM is their product i.e 14420010

Least Common Multiple of 2442,5905 with GCF Formula

Least Common Multiple of 2442,5905 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 2442,5905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2442,5905) = 1

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

GCF(2442,5905) x common factors =1 x 1 = 1

LCM(2442,5905) = ( 2442 × 5905 ) / 1

LCM(2442,5905) = 14420010 / 1

LCM(2442,5905) = 14420010


Lets's calculate GCF of 230,530

2 230, 530
5 115, 265
23, 53

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14420010/10

Therefore the LCM of Fractions 2442/230,5905/530 is 1442001

Greatest Common Factor of 230,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,530 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 230,530 . The biggest common factor number is the GCF number.
So the greatest common factor 230,530 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2442/230, 5905/530

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 2442/230, 5905/530?

Answer: LCM of Numerators as per given numbers 2442/230, 5905/530 is

LCM of Numerators i.e. for 2442,5905 is 14420010

GCF of denominators i.e. for 230,530 is 10.

Thus, LCM of Fractions is 1442001.Finally, LCM of Fractions for 2442/230, 5905/530 is 1442001.