Least Common Multiple of 4619/466, 4774/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4619/466, 4774/972 quickly i.e. 355663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4619/466, 4774/972 is 355663.

LCM(4619/466, 4774/972) = 355663

LCM of 4619/466, 4774/972

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 4619/466,4774/972

Given numbers are 4619/466,4774/972

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 4619,4774

Least Common Multiple of Numerators i.e. LCM of 4619,4774 is 711326.

GCF of Denominators means GCF of 466,972 as per the given fractions.

GCF of 466,972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4619,4774

LCM of Fractions 4619/466,4774/972 is 355663

31 4619, 4774
149, 154

∴ So the LCM of the given numbers is 31 x 149 x 154 = 711326

Least Common Multiple of 4619,4774 with GCF Formula

Least Common Multiple of 4619,4774 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 4619,4774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4619,4774) = 31

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

GCF(4619,4774) x common factors =31 x 1 = 31

LCM(4619,4774) = ( 4619 × 4774 ) / 31

LCM(4619,4774) = 22051106 / 31

LCM(4619,4774) = 711326


Lets's calculate GCF of 466,972

2 466, 972
233, 486

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 711326/2

Therefore the LCM of Fractions 4619/466,4774/972 is 355663

Greatest Common Factor of 466,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,972 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 466,972 . The biggest common factor number is the GCF number.
So the greatest common factor 466,972 is 2.


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 4619/466, 4774/972

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 4619/466, 4774/972?

Answer: LCM of Numerators as per given numbers 4619/466, 4774/972 is

LCM of Numerators i.e. for 4619,4774 is 711326

GCF of denominators i.e. for 466,972 is 2.

Thus, LCM of Fractions is 355663.Finally, LCM of Fractions for 4619/466, 4774/972 is 355663.