Least Common Multiple of 3594/413, 4413/5055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3594/413, 4413/5055 quickly i.e. 5286774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3594/413, 4413/5055 is 5286774.

LCM(3594/413, 4413/5055) = 5286774

LCM of 3594/413, 4413/5055

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 3594/413,4413/5055

Given numbers are 3594/413,4413/5055

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 3594,4413

Least Common Multiple of Numerators i.e. LCM of 3594,4413 is 5286774.

GCF of Denominators means GCF of 413,5055 as per the given fractions.

GCF of 413,5055 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3594,4413

LCM of Fractions 3594/413,4413/5055 is 5286774

3 3594, 4413
1198, 1471

∴ So the LCM of the given numbers is 3 x 1198 x 1471 = 5286774

Least Common Multiple of 3594,4413 with GCF Formula

Least Common Multiple of 3594,4413 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 3594,4413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3594,4413) = 3

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

GCF(3594,4413) x common factors =3 x 1 = 3

LCM(3594,4413) = ( 3594 × 4413 ) / 3

LCM(3594,4413) = 15860322 / 3

LCM(3594,4413) = 5286774


Lets's calculate GCF of 413,5055

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5286774/1

Therefore the LCM of Fractions 3594/413,4413/5055 is 5286774

Greatest Common Factor of 413,5055 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,5055 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 5055

List of positive integer factors of 5055 that divides 5055 without a remainder.

1,3,5,15,337,1011,1685,5055

Greatest Common Factor

We found the factors 413,5055 . The biggest common factor number is the GCF number.
So the greatest common factor 413,5055 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3594/413, 4413/5055

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 3594/413, 4413/5055?

Answer: LCM of Numerators as per given numbers 3594/413, 4413/5055 is

LCM of Numerators i.e. for 3594,4413 is 5286774

GCF of denominators i.e. for 413,5055 is 1.

Thus, LCM of Fractions is 5286774.Finally, LCM of Fractions for 3594/413, 4413/5055 is 5286774.