Least Common Multiple of 478/40, 172/5021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/40, 172/5021 quickly i.e. 41108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/40, 172/5021 is 41108.

LCM(478/40, 172/5021) = 41108

LCM of 478/40, 172/5021

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 478/40,172/5021

Given numbers are 478/40,172/5021

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 478,172

Least Common Multiple of Numerators i.e. LCM of 478,172 is 41108.

GCF of Denominators means GCF of 40,5021 as per the given fractions.

GCF of 40,5021 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,172

LCM of Fractions 478/40,172/5021 is 41108

2 478, 172
239, 86

∴ So the LCM of the given numbers is 2 x 239 x 86 = 41108

Least Common Multiple of 478,172 with GCF Formula

Least Common Multiple of 478,172 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 478,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,172) = 2

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

GCF(478,172) x common factors =2 x 1 = 2

LCM(478,172) = ( 478 × 172 ) / 2

LCM(478,172) = 82216 / 2

LCM(478,172) = 41108


Lets's calculate GCF of 40,5021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41108/1

Therefore the LCM of Fractions 478/40,172/5021 is 41108

Greatest Common Factor of 40,5021 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,5021 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 5021

List of positive integer factors of 5021 that divides 5021 without a remainder.

1,5021

Greatest Common Factor

We found the factors 40,5021 . The biggest common factor number is the GCF number.
So the greatest common factor 40,5021 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 478/40, 172/5021

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 478/40, 172/5021?

Answer: LCM of Numerators as per given numbers 478/40, 172/5021 is

LCM of Numerators i.e. for 478,172 is 41108

GCF of denominators i.e. for 40,5021 is 1.

Thus, LCM of Fractions is 41108.Finally, LCM of Fractions for 478/40, 172/5021 is 41108.