Least Common Multiple of 4159/609, 2424/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4159/609, 2424/476 quickly i.e. 10081416/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4159/609, 2424/476 is 10081416/7.

LCM(4159/609, 2424/476) = 10081416/7

LCM of 4159/609, 2424/476

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 4159/609,2424/476

Given numbers are 4159/609,2424/476

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 4159,2424

Least Common Multiple of Numerators i.e. LCM of 4159,2424 is 10081416.

GCF of Denominators means GCF of 609,476 as per the given fractions.

GCF of 609,476 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4159,2424

LCM of Fractions 4159/609,2424/476 is 10081416/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 10081416

Least Common Multiple of 4159,2424 with GCF Formula

Least Common Multiple of 4159,2424 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 4159,2424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4159,2424) = 1

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

GCF(4159,2424) x common factors =1 x 1 = 1

LCM(4159,2424) = ( 4159 × 2424 ) / 1

LCM(4159,2424) = 10081416 / 1

LCM(4159,2424) = 10081416


Lets's calculate GCF of 609,476

7 609, 476
87, 68

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10081416/7

Therefore the LCM of Fractions 4159/609,2424/476 is 10081416/7

Greatest Common Factor of 609,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,476 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 609,476 . The biggest common factor number is the GCF number.
So the greatest common factor 609,476 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4159/609, 2424/476

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 4159/609, 2424/476?

Answer: LCM of Numerators as per given numbers 4159/609, 2424/476 is

LCM of Numerators i.e. for 4159,2424 is 10081416

GCF of denominators i.e. for 609,476 is 7.

Thus, LCM of Fractions is 10081416/7.Finally, LCM of Fractions for 4159/609, 2424/476 is 10081416/7.