Least Common Multiple of 435/243, 9113/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 435/243, 9113/585 quickly i.e. 3964155/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/243, 9113/585 is 3964155/9.

LCM(435/243, 9113/585) = 3964155/9

LCM of 435/243, 9113/585

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 435/243,9113/585

Given numbers are 435/243,9113/585

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 435,9113

Least Common Multiple of Numerators i.e. LCM of 435,9113 is 3964155.

GCF of Denominators means GCF of 243,585 as per the given fractions.

GCF of 243,585 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,9113

LCM of Fractions 435/243,9113/585 is 3964155/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 3964155

Least Common Multiple of 435,9113 with GCF Formula

Least Common Multiple of 435,9113 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 435,9113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,9113) = 1

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

GCF(435,9113) x common factors =1 x 1 = 1

LCM(435,9113) = ( 435 × 9113 ) / 1

LCM(435,9113) = 3964155 / 1

LCM(435,9113) = 3964155


Lets's calculate GCF of 243,585

3 243, 585
3 81, 195
27, 65

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3964155/9

Therefore the LCM of Fractions 435/243,9113/585 is 3964155/9

Greatest Common Factor of 243,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,585 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 243,585 . The biggest common factor number is the GCF number.
So the greatest common factor 243,585 is 9.


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Frequently Asked Questions on Fractional LCM of 435/243, 9113/585

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 435/243, 9113/585?

Answer: LCM of Numerators as per given numbers 435/243, 9113/585 is

LCM of Numerators i.e. for 435,9113 is 3964155

GCF of denominators i.e. for 243,585 is 9.

Thus, LCM of Fractions is 3964155/9.Finally, LCM of Fractions for 435/243, 9113/585 is 3964155/9.