Least Common Multiple of 72/82, 29/218, 580/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/82, 29/218, 580/121 quickly i.e. 10440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/82, 29/218, 580/121 is 10440.

LCM(72/82, 29/218, 580/121) = 10440

LCM of 72/82, 29/218, 580/121

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 72/82,29/218,580/121

Given numbers are 72/82,29/218,580/121

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 72,29,580

Least Common Multiple of Numerators i.e. LCM of 72,29,580 is 10440.

GCF of Denominators means GCF of 82,218,121 as per the given fractions.

GCF of 82,218,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,29,580

LCM of Fractions 72/82,29/218,580/121 is 10440

2 72, 29, 580
2 36, 29, 290
29 18, 29, 145
18, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 29 x 18 x 1 x 5 = 10440

Least Common Multiple of 72,29,580 with GCF Formula

Least Common Multiple of 72,29,580 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 72,29,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,29,580) = 1

common factors(in case of two or more numbers have common factors) = 116

GCF(72,29,580) x common factors =1 x 116 = 116

LCM(72,29,580) = ( 72 × 29 × 580 ) / 116

LCM(72,29,580) = 1211040 / 116

LCM(72,29,580) = 10440


Lets's calculate GCF of 82,218,121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10440/1

Therefore the LCM of Fractions 72/82,29/218,580/121 is 10440

Greatest Common Factor of 82,218,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,218,121 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 82,218,121 . The biggest common factor number is the GCF number.
So the greatest common factor 82,218,121 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 72/82, 29/218, 580/121

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 72/82, 29/218, 580/121?

Answer: LCM of Numerators as per given numbers 72/82, 29/218, 580/121 is

LCM of Numerators i.e. for 72,29,580 is 10440

GCF of denominators i.e. for 82,218,121 is 1.

Thus, LCM of Fractions is 10440.Finally, LCM of Fractions for 72/82, 29/218, 580/121 is 10440.