Least Common Multiple of 479/672, 167/851, 217/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 479/672, 167/851, 217/906 quickly i.e. 17358481 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 479/672, 167/851, 217/906 is 17358481.

LCM(479/672, 167/851, 217/906) = 17358481

LCM of 479/672, 167/851, 217/906

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 479/672,167/851,217/906

Given numbers are 479/672,167/851,217/906

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 479,167,217

Least Common Multiple of Numerators i.e. LCM of 479,167,217 is 17358481.

GCF of Denominators means GCF of 672,851,906 as per the given fractions.

GCF of 672,851,906 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 479,167,217

LCM of Fractions 479/672,167/851,217/906 is 17358481

Given numbers has no common factors except 1. So, there LCM is their product i.e 17358481

Least Common Multiple of 479,167,217 with GCF Formula

Least Common Multiple of 479,167,217 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 479,167,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,167,217) = 1

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

GCF(479,167,217) x common factors =1 x 1 = 1

LCM(479,167,217) = ( 479 × 167 × 217 ) / 1

LCM(479,167,217) = 17358481 / 1

LCM(479,167,217) = 17358481


Lets's calculate GCF of 672,851,906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17358481/1

Therefore the LCM of Fractions 479/672,167/851,217/906 is 17358481

Greatest Common Factor of 672,851,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,851,906 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 672,851,906 . The biggest common factor number is the GCF number.
So the greatest common factor 672,851,906 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 479/672, 167/851, 217/906

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 479/672, 167/851, 217/906?

Answer: LCM of Numerators as per given numbers 479/672, 167/851, 217/906 is

LCM of Numerators i.e. for 479,167,217 is 17358481

GCF of denominators i.e. for 672,851,906 is 1.

Thus, LCM of Fractions is 17358481.Finally, LCM of Fractions for 479/672, 167/851, 217/906 is 17358481.