Least Common Multiple of 20/450, 9972/4187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/450, 9972/4187 quickly i.e. 49860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/450, 9972/4187 is 49860.

LCM(20/450, 9972/4187) = 49860

LCM of 20/450, 9972/4187

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 20/450,9972/4187

Given numbers are 20/450,9972/4187

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 20,9972

Least Common Multiple of Numerators i.e. LCM of 20,9972 is 49860.

GCF of Denominators means GCF of 450,4187 as per the given fractions.

GCF of 450,4187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,9972

LCM of Fractions 20/450,9972/4187 is 49860

2 20, 9972
2 10, 4986
5, 2493

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2493 = 49860

Least Common Multiple of 20,9972 with GCF Formula

Least Common Multiple of 20,9972 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 20,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,9972) = 4

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

GCF(20,9972) x common factors =4 x 1 = 4

LCM(20,9972) = ( 20 × 9972 ) / 4

LCM(20,9972) = 199440 / 4

LCM(20,9972) = 49860


Lets's calculate GCF of 450,4187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49860/1

Therefore the LCM of Fractions 20/450,9972/4187 is 49860

Greatest Common Factor of 450,4187 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,4187 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 4187

List of positive integer factors of 4187 that divides 4187 without a remainder.

1,53,79,4187

Greatest Common Factor

We found the factors 450,4187 . The biggest common factor number is the GCF number.
So the greatest common factor 450,4187 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 20/450, 9972/4187

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 20/450, 9972/4187?

Answer: LCM of Numerators as per given numbers 20/450, 9972/4187 is

LCM of Numerators i.e. for 20,9972 is 49860

GCF of denominators i.e. for 450,4187 is 1.

Thus, LCM of Fractions is 49860.Finally, LCM of Fractions for 20/450, 9972/4187 is 49860.