Least Common Multiple of 20/90, 237/12, 361/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/90, 237/12, 361/160 quickly i.e. 855570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/90, 237/12, 361/160 is 855570.

LCM(20/90, 237/12, 361/160) = 855570

LCM of 20/90, 237/12, 361/160

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 20/90,237/12,361/160

Given numbers are 20/90,237/12,361/160

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 20,237,361

Least Common Multiple of Numerators i.e. LCM of 20,237,361 is 1711140.

GCF of Denominators means GCF of 90,12,160 as per the given fractions.

GCF of 90,12,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,237,361

LCM of Fractions 20/90,237/12,361/160 is 855570

Given numbers has no common factors except 1. So, there LCM is their product i.e 1711140

Least Common Multiple of 20,237,361 with GCF Formula

Least Common Multiple of 20,237,361 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 20,237,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,237,361) = 1

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

GCF(20,237,361) x common factors =1 x 1 = 1

LCM(20,237,361) = ( 20 × 237 × 361 ) / 1

LCM(20,237,361) = 1711140 / 1

LCM(20,237,361) = 1711140


Lets's calculate GCF of 90,12,160

2 90, 12, 160
45, 6, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1711140/2

Therefore the LCM of Fractions 20/90,237/12,361/160 is 855570

Greatest Common Factor of 90,12,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,12,160 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 90,12,160 . The biggest common factor number is the GCF number.
So the greatest common factor 90,12,160 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 20/90, 237/12, 361/160

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 20/90, 237/12, 361/160?

Answer: LCM of Numerators as per given numbers 20/90, 237/12, 361/160 is

LCM of Numerators i.e. for 20,237,361 is 1711140

GCF of denominators i.e. for 90,12,160 is 2.

Thus, LCM of Fractions is 855570.Finally, LCM of Fractions for 20/90, 237/12, 361/160 is 855570.