Least Common Multiple of 67/10, 15/81, 160/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/10, 15/81, 160/105 quickly i.e. 32160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/10, 15/81, 160/105 is 32160.

LCM(67/10, 15/81, 160/105) = 32160

LCM of 67/10, 15/81, 160/105

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 67/10,15/81,160/105

Given numbers are 67/10,15/81,160/105

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 67,15,160

Least Common Multiple of Numerators i.e. LCM of 67,15,160 is 32160.

GCF of Denominators means GCF of 10,81,105 as per the given fractions.

GCF of 10,81,105 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,15,160

LCM of Fractions 67/10,15/81,160/105 is 32160

5 67, 15, 160
67, 3, 32

∴ So the LCM of the given numbers is 5 x 67 x 3 x 32 = 32160

Least Common Multiple of 67,15,160 with GCF Formula

Least Common Multiple of 67,15,160 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 67,15,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,15,160) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(67,15,160) x common factors =1 x 5 = 5

LCM(67,15,160) = ( 67 × 15 × 160 ) / 5

LCM(67,15,160) = 160800 / 5

LCM(67,15,160) = 32160


Lets's calculate GCF of 10,81,105

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32160/1

Therefore the LCM of Fractions 67/10,15/81,160/105 is 32160

Greatest Common Factor of 10,81,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,81,105 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 10,81,105 . The biggest common factor number is the GCF number.
So the greatest common factor 10,81,105 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 67/10, 15/81, 160/105

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 67/10, 15/81, 160/105?

Answer: LCM of Numerators as per given numbers 67/10, 15/81, 160/105 is

LCM of Numerators i.e. for 67,15,160 is 32160

GCF of denominators i.e. for 10,81,105 is 1.

Thus, LCM of Fractions is 32160.Finally, LCM of Fractions for 67/10, 15/81, 160/105 is 32160.