Least Common Multiple of 20/220, 89/457, 222/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/220, 89/457, 222/322 quickly i.e. 197580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/220, 89/457, 222/322 is 197580.

LCM(20/220, 89/457, 222/322) = 197580

LCM of 20/220, 89/457, 222/322

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 20/220,89/457,222/322

Given numbers are 20/220,89/457,222/322

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 20,89,222

Least Common Multiple of Numerators i.e. LCM of 20,89,222 is 197580.

GCF of Denominators means GCF of 220,457,322 as per the given fractions.

GCF of 220,457,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,89,222

LCM of Fractions 20/220,89/457,222/322 is 197580

2 20, 89, 222
10, 89, 111

∴ So the LCM of the given numbers is 2 x 10 x 89 x 111 = 197580

Least Common Multiple of 20,89,222 with GCF Formula

Least Common Multiple of 20,89,222 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 20,89,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,89,222) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,89,222) x common factors =1 x 2 = 2

LCM(20,89,222) = ( 20 × 89 × 222 ) / 2

LCM(20,89,222) = 395160 / 2

LCM(20,89,222) = 197580


Lets's calculate GCF of 220,457,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197580/1

Therefore the LCM of Fractions 20/220,89/457,222/322 is 197580

Greatest Common Factor of 220,457,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,457,322 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 220,457,322 . The biggest common factor number is the GCF number.
So the greatest common factor 220,457,322 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 20/220, 89/457, 222/322

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 20/220, 89/457, 222/322?

Answer: LCM of Numerators as per given numbers 20/220, 89/457, 222/322 is

LCM of Numerators i.e. for 20,89,222 is 197580

GCF of denominators i.e. for 220,457,322 is 1.

Thus, LCM of Fractions is 197580.Finally, LCM of Fractions for 20/220, 89/457, 222/322 is 197580.