Least Common Multiple of 48/152, 422/301, 479/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/152, 422/301, 479/808 quickly i.e. 4851312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/152, 422/301, 479/808 is 4851312.

LCM(48/152, 422/301, 479/808) = 4851312

LCM of 48/152, 422/301, 479/808

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 48/152,422/301,479/808

Given numbers are 48/152,422/301,479/808

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 48,422,479

Least Common Multiple of Numerators i.e. LCM of 48,422,479 is 4851312.

GCF of Denominators means GCF of 152,301,808 as per the given fractions.

GCF of 152,301,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,422,479

LCM of Fractions 48/152,422/301,479/808 is 4851312

2 48, 422, 479
24, 211, 479

∴ So the LCM of the given numbers is 2 x 24 x 211 x 479 = 4851312

Least Common Multiple of 48,422,479 with GCF Formula

Least Common Multiple of 48,422,479 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 48,422,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,422,479) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(48,422,479) x common factors =1 x 2 = 2

LCM(48,422,479) = ( 48 × 422 × 479 ) / 2

LCM(48,422,479) = 9702624 / 2

LCM(48,422,479) = 4851312


Lets's calculate GCF of 152,301,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4851312/1

Therefore the LCM of Fractions 48/152,422/301,479/808 is 4851312

Greatest Common Factor of 152,301,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,301,808 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 152,301,808 . The biggest common factor number is the GCF number.
So the greatest common factor 152,301,808 is 1.


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 48/152, 422/301, 479/808

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 48/152, 422/301, 479/808?

Answer: LCM of Numerators as per given numbers 48/152, 422/301, 479/808 is

LCM of Numerators i.e. for 48,422,479 is 4851312

GCF of denominators i.e. for 152,301,808 is 1.

Thus, LCM of Fractions is 4851312.Finally, LCM of Fractions for 48/152, 422/301, 479/808 is 4851312.