Least Common Multiple of 20/161, 520/267, 190/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/161, 520/267, 190/900 quickly i.e. 9880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/161, 520/267, 190/900 is 9880.

LCM(20/161, 520/267, 190/900) = 9880

LCM of 20/161, 520/267, 190/900

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 20/161,520/267,190/900

Given numbers are 20/161,520/267,190/900

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 20,520,190

Least Common Multiple of Numerators i.e. LCM of 20,520,190 is 9880.

GCF of Denominators means GCF of 161,267,900 as per the given fractions.

GCF of 161,267,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,520,190

LCM of Fractions 20/161,520/267,190/900 is 9880

2 20, 520, 190
2 10, 260, 95
5 5, 130, 95
1, 26, 19

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 26 x 19 = 9880

Least Common Multiple of 20,520,190 with GCF Formula

Least Common Multiple of 20,520,190 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 20,520,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,520,190) = 10

common factors(in case of two or more numbers have common factors) = 20

GCF(20,520,190) x common factors =10 x 20 = 200

LCM(20,520,190) = ( 20 × 520 × 190 ) / 200

LCM(20,520,190) = 1976000 / 200

LCM(20,520,190) = 9880


Lets's calculate GCF of 161,267,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9880/1

Therefore the LCM of Fractions 20/161,520/267,190/900 is 9880

Greatest Common Factor of 161,267,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,267,900 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 161,267,900 . The biggest common factor number is the GCF number.
So the greatest common factor 161,267,900 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 20/161, 520/267, 190/900

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 20/161, 520/267, 190/900?

Answer: LCM of Numerators as per given numbers 20/161, 520/267, 190/900 is

LCM of Numerators i.e. for 20,520,190 is 9880

GCF of denominators i.e. for 161,267,900 is 1.

Thus, LCM of Fractions is 9880.Finally, LCM of Fractions for 20/161, 520/267, 190/900 is 9880.