Least Common Multiple of 18/72, 30/29, 60/49, 10/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/72, 30/29, 60/49, 10/406 quickly i.e. 180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/72, 30/29, 60/49, 10/406 is 180.

LCM(18/72, 30/29, 60/49, 10/406) = 180

LCM of 18/72, 30/29, 60/49, 10/406

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 18/72,30/29,60/49,10/406

Given numbers are 18/72,30/29,60/49,10/406

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 18,30,60,10

Least Common Multiple of Numerators i.e. LCM of 18,30,60,10 is 180.

GCF of Denominators means GCF of 72,29,49,406 as per the given fractions.

GCF of 72,29,49,406 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,30,60,10

LCM of Fractions 18/72,30/29,60/49,10/406 is 180

2 18, 30, 60, 10
3 9, 15, 30, 5
5 3, 5, 10, 5
3, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 1 x 2 x 1 = 180

Least Common Multiple of 18,30,60,10 with GCF Formula

Least Common Multiple of 18,30,60,10 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 18,30,60,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,30,60,10) = 2

common factors(in case of two or more numbers have common factors) = 900

GCF(18,30,60,10) x common factors =2 x 900 = 1800

LCM(18,30,60,10) = ( 18 × 30 × 60 × 10 ) / 1800

LCM(18,30,60,10) = 324000 / 1800

LCM(18,30,60,10) = 180


Lets's calculate GCF of 72,29,49,406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180/1

Therefore the LCM of Fractions 18/72,30/29,60/49,10/406 is 180

Greatest Common Factor of 72,29,49,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,29,49,406 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 72,29,49,406 . The biggest common factor number is the GCF number.
So the greatest common factor 72,29,49,406 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 18/72, 30/29, 60/49, 10/406

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 18/72, 30/29, 60/49, 10/406?

Answer: LCM of Numerators as per given numbers 18/72, 30/29, 60/49, 10/406 is

LCM of Numerators i.e. for 18,30,60,10 is 180

GCF of denominators i.e. for 72,29,49,406 is 1.

Thus, LCM of Fractions is 180.Finally, LCM of Fractions for 18/72, 30/29, 60/49, 10/406 is 180.