Least Common Multiple of 67/11, 45/70, 20/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/11, 45/70, 20/206 quickly i.e. 12060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/11, 45/70, 20/206 is 12060.

LCM(67/11, 45/70, 20/206) = 12060

LCM of 67/11, 45/70, 20/206

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 67/11,45/70,20/206

Given numbers are 67/11,45/70,20/206

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 67,45,20

Least Common Multiple of Numerators i.e. LCM of 67,45,20 is 12060.

GCF of Denominators means GCF of 11,70,206 as per the given fractions.

GCF of 11,70,206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,45,20

LCM of Fractions 67/11,45/70,20/206 is 12060

5 67, 45, 20
67, 9, 4

∴ So the LCM of the given numbers is 5 x 67 x 9 x 4 = 12060

Least Common Multiple of 67,45,20 with GCF Formula

Least Common Multiple of 67,45,20 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 67,45,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,45,20) = 1

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

GCF(67,45,20) x common factors =1 x 5 = 5

LCM(67,45,20) = ( 67 × 45 × 20 ) / 5

LCM(67,45,20) = 60300 / 5

LCM(67,45,20) = 12060


Lets's calculate GCF of 11,70,206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12060/1

Therefore the LCM of Fractions 67/11,45/70,20/206 is 12060

Greatest Common Factor of 11,70,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,70,206 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 11,70,206 . The biggest common factor number is the GCF number.
So the greatest common factor 11,70,206 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 67/11, 45/70, 20/206

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 67/11, 45/70, 20/206?

Answer: LCM of Numerators as per given numbers 67/11, 45/70, 20/206 is

LCM of Numerators i.e. for 67,45,20 is 12060

GCF of denominators i.e. for 11,70,206 is 1.

Thus, LCM of Fractions is 12060.Finally, LCM of Fractions for 67/11, 45/70, 20/206 is 12060.