Least Common Multiple of 20/478, 4278/3062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/478, 4278/3062 quickly i.e. 21390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/478, 4278/3062 is 21390.

LCM(20/478, 4278/3062) = 21390

LCM of 20/478, 4278/3062

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 20/478,4278/3062

Given numbers are 20/478,4278/3062

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 20,4278

Least Common Multiple of Numerators i.e. LCM of 20,4278 is 42780.

GCF of Denominators means GCF of 478,3062 as per the given fractions.

GCF of 478,3062 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,4278

LCM of Fractions 20/478,4278/3062 is 21390

2 20, 4278
10, 2139

∴ So the LCM of the given numbers is 2 x 10 x 2139 = 42780

Least Common Multiple of 20,4278 with GCF Formula

Least Common Multiple of 20,4278 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 20,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,4278) = 2

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

GCF(20,4278) x common factors =2 x 1 = 2

LCM(20,4278) = ( 20 × 4278 ) / 2

LCM(20,4278) = 85560 / 2

LCM(20,4278) = 42780


Lets's calculate GCF of 478,3062

2 478, 3062
239, 1531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42780/2

Therefore the LCM of Fractions 20/478,4278/3062 is 21390

Greatest Common Factor of 478,3062 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,3062 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 3062

List of positive integer factors of 3062 that divides 3062 without a remainder.

1,2,1531,3062

Greatest Common Factor

We found the factors 478,3062 . The biggest common factor number is the GCF number.
So the greatest common factor 478,3062 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 20/478, 4278/3062

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 20/478, 4278/3062?

Answer: LCM of Numerators as per given numbers 20/478, 4278/3062 is

LCM of Numerators i.e. for 20,4278 is 42780

GCF of denominators i.e. for 478,3062 is 2.

Thus, LCM of Fractions is 21390.Finally, LCM of Fractions for 20/478, 4278/3062 is 21390.