Least Common Multiple of 36/15, 71/280, 162/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/15, 71/280, 162/929 quickly i.e. 23004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/15, 71/280, 162/929 is 23004.

LCM(36/15, 71/280, 162/929) = 23004

LCM of 36/15, 71/280, 162/929

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 36/15,71/280,162/929

Given numbers are 36/15,71/280,162/929

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 36,71,162

Least Common Multiple of Numerators i.e. LCM of 36,71,162 is 23004.

GCF of Denominators means GCF of 15,280,929 as per the given fractions.

GCF of 15,280,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,71,162

LCM of Fractions 36/15,71/280,162/929 is 23004

2 36, 71, 162
3 18, 71, 81
3 6, 71, 27
2, 71, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 71 x 9 = 23004

Least Common Multiple of 36,71,162 with GCF Formula

Least Common Multiple of 36,71,162 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 36,71,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,71,162) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(36,71,162) x common factors =1 x 18 = 18

LCM(36,71,162) = ( 36 × 71 × 162 ) / 18

LCM(36,71,162) = 414072 / 18

LCM(36,71,162) = 23004


Lets's calculate GCF of 15,280,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23004/1

Therefore the LCM of Fractions 36/15,71/280,162/929 is 23004

Greatest Common Factor of 15,280,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,280,929 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 15,280,929 . The biggest common factor number is the GCF number.
So the greatest common factor 15,280,929 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 36/15, 71/280, 162/929

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 36/15, 71/280, 162/929?

Answer: LCM of Numerators as per given numbers 36/15, 71/280, 162/929 is

LCM of Numerators i.e. for 36,71,162 is 23004

GCF of denominators i.e. for 15,280,929 is 1.

Thus, LCM of Fractions is 23004.Finally, LCM of Fractions for 36/15, 71/280, 162/929 is 23004.