Least Common Multiple of 479/670, 106/814, 301/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 479/670, 106/814, 301/179 quickly i.e. 15282974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 479/670, 106/814, 301/179 is 15282974.

LCM(479/670, 106/814, 301/179) = 15282974

LCM of 479/670, 106/814, 301/179

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 479/670,106/814,301/179

Given numbers are 479/670,106/814,301/179

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 479,106,301

Least Common Multiple of Numerators i.e. LCM of 479,106,301 is 15282974.

GCF of Denominators means GCF of 670,814,179 as per the given fractions.

GCF of 670,814,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 479,106,301

LCM of Fractions 479/670,106/814,301/179 is 15282974

Given numbers has no common factors except 1. So, there LCM is their product i.e 15282974

Least Common Multiple of 479,106,301 with GCF Formula

Least Common Multiple of 479,106,301 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 479,106,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,106,301) = 1

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

GCF(479,106,301) x common factors =1 x 1 = 1

LCM(479,106,301) = ( 479 × 106 × 301 ) / 1

LCM(479,106,301) = 15282974 / 1

LCM(479,106,301) = 15282974


Lets's calculate GCF of 670,814,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15282974/1

Therefore the LCM of Fractions 479/670,106/814,301/179 is 15282974

Greatest Common Factor of 670,814,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,814,179 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 670,814,179 . The biggest common factor number is the GCF number.
So the greatest common factor 670,814,179 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 479/670, 106/814, 301/179

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 479/670, 106/814, 301/179?

Answer: LCM of Numerators as per given numbers 479/670, 106/814, 301/179 is

LCM of Numerators i.e. for 479,106,301 is 15282974

GCF of denominators i.e. for 670,814,179 is 1.

Thus, LCM of Fractions is 15282974.Finally, LCM of Fractions for 479/670, 106/814, 301/179 is 15282974.