Least Common Multiple of 22/142, 565/360, 176/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/142, 565/360, 176/590 quickly i.e. 49720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/142, 565/360, 176/590 is 49720.

LCM(22/142, 565/360, 176/590) = 49720

LCM of 22/142, 565/360, 176/590

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 22/142,565/360,176/590

Given numbers are 22/142,565/360,176/590

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 22,565,176

Least Common Multiple of Numerators i.e. LCM of 22,565,176 is 99440.

GCF of Denominators means GCF of 142,360,590 as per the given fractions.

GCF of 142,360,590 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,565,176

LCM of Fractions 22/142,565/360,176/590 is 49720

2 22, 565, 176
11 11, 565, 88
1, 565, 8

∴ So the LCM of the given numbers is 2 x 11 x 1 x 565 x 8 = 99440

Least Common Multiple of 22,565,176 with GCF Formula

Least Common Multiple of 22,565,176 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 22,565,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,565,176) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(22,565,176) x common factors =1 x 22 = 22

LCM(22,565,176) = ( 22 × 565 × 176 ) / 22

LCM(22,565,176) = 2187680 / 22

LCM(22,565,176) = 99440


Lets's calculate GCF of 142,360,590

2 142, 360, 590
71, 180, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99440/2

Therefore the LCM of Fractions 22/142,565/360,176/590 is 49720

Greatest Common Factor of 142,360,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,360,590 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 142,360,590 . The biggest common factor number is the GCF number.
So the greatest common factor 142,360,590 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 22/142, 565/360, 176/590

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 22/142, 565/360, 176/590?

Answer: LCM of Numerators as per given numbers 22/142, 565/360, 176/590 is

LCM of Numerators i.e. for 22,565,176 is 99440

GCF of denominators i.e. for 142,360,590 is 2.

Thus, LCM of Fractions is 49720.Finally, LCM of Fractions for 22/142, 565/360, 176/590 is 49720.