Least Common Multiple of 72/590, 28/623, 220/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/590, 28/623, 220/955 quickly i.e. 27720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/590, 28/623, 220/955 is 27720.

LCM(72/590, 28/623, 220/955) = 27720

LCM of 72/590, 28/623, 220/955

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 72/590,28/623,220/955

Given numbers are 72/590,28/623,220/955

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 72,28,220

Least Common Multiple of Numerators i.e. LCM of 72,28,220 is 27720.

GCF of Denominators means GCF of 590,623,955 as per the given fractions.

GCF of 590,623,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,28,220

LCM of Fractions 72/590,28/623,220/955 is 27720

2 72, 28, 220
2 36, 14, 110
18, 7, 55

∴ So the LCM of the given numbers is 2 x 2 x 18 x 7 x 55 = 27720

Least Common Multiple of 72,28,220 with GCF Formula

Least Common Multiple of 72,28,220 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 72,28,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,28,220) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(72,28,220) x common factors =4 x 4 = 16

LCM(72,28,220) = ( 72 × 28 × 220 ) / 16

LCM(72,28,220) = 443520 / 16

LCM(72,28,220) = 27720


Lets's calculate GCF of 590,623,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27720/1

Therefore the LCM of Fractions 72/590,28/623,220/955 is 27720

Greatest Common Factor of 590,623,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,623,955 By Matching Biggest Common Factor Method

Factors of 590

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

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

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 590,623,955 . The biggest common factor number is the GCF number.
So the greatest common factor 590,623,955 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 72/590, 28/623, 220/955

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 72/590, 28/623, 220/955?

Answer: LCM of Numerators as per given numbers 72/590, 28/623, 220/955 is

LCM of Numerators i.e. for 72,28,220 is 27720

GCF of denominators i.e. for 590,623,955 is 1.

Thus, LCM of Fractions is 27720.Finally, LCM of Fractions for 72/590, 28/623, 220/955 is 27720.