Least Common Multiple of 1/478, 41/605, 12/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1/478, 41/605, 12/279 quickly i.e. 492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/478, 41/605, 12/279 is 492.

LCM(1/478, 41/605, 12/279) = 492

LCM of 1/478, 41/605, 12/279

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 1/478,41/605,12/279

Given numbers are 1/478,41/605,12/279

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 1,41,12

Least Common Multiple of Numerators i.e. LCM of 1,41,12 is 492.

GCF of Denominators means GCF of 478,605,279 as per the given fractions.

GCF of 478,605,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,41,12

LCM of Fractions 1/478,41/605,12/279 is 492

Given numbers has no common factors except 1. So, there LCM is their product i.e 492

Least Common Multiple of 1,41,12 with GCF Formula

Least Common Multiple of 1,41,12 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 1,41,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,41,12) = 1

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

GCF(1,41,12) x common factors =1 x 1 = 1

LCM(1,41,12) = ( 1 × 41 × 12 ) / 1

LCM(1,41,12) = 492 / 1

LCM(1,41,12) = 492


Lets's calculate GCF of 478,605,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492/1

Therefore the LCM of Fractions 1/478,41/605,12/279 is 492

Greatest Common Factor of 478,605,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,605,279 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 478,605,279 . The biggest common factor number is the GCF number.
So the greatest common factor 478,605,279 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1/478, 41/605, 12/279

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 1/478, 41/605, 12/279?

Answer: LCM of Numerators as per given numbers 1/478, 41/605, 12/279 is

LCM of Numerators i.e. for 1,41,12 is 492

GCF of denominators i.e. for 478,605,279 is 1.

Thus, LCM of Fractions is 492.Finally, LCM of Fractions for 1/478, 41/605, 12/279 is 492.