Least Common Multiple of 67/21, 10/863, 186/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/21, 10/863, 186/230 quickly i.e. 62310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/21, 10/863, 186/230 is 62310.

LCM(67/21, 10/863, 186/230) = 62310

LCM of 67/21, 10/863, 186/230

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 67/21,10/863,186/230

Given numbers are 67/21,10/863,186/230

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 67,10,186

Least Common Multiple of Numerators i.e. LCM of 67,10,186 is 62310.

GCF of Denominators means GCF of 21,863,230 as per the given fractions.

GCF of 21,863,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,10,186

LCM of Fractions 67/21,10/863,186/230 is 62310

2 67, 10, 186
67, 5, 93

∴ So the LCM of the given numbers is 2 x 67 x 5 x 93 = 62310

Least Common Multiple of 67,10,186 with GCF Formula

Least Common Multiple of 67,10,186 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 67,10,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,10,186) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(67,10,186) x common factors =1 x 2 = 2

LCM(67,10,186) = ( 67 × 10 × 186 ) / 2

LCM(67,10,186) = 124620 / 2

LCM(67,10,186) = 62310


Lets's calculate GCF of 21,863,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62310/1

Therefore the LCM of Fractions 67/21,10/863,186/230 is 62310

Greatest Common Factor of 21,863,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,863,230 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 21,863,230 . The biggest common factor number is the GCF number.
So the greatest common factor 21,863,230 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 67/21, 10/863, 186/230

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 67/21, 10/863, 186/230?

Answer: LCM of Numerators as per given numbers 67/21, 10/863, 186/230 is

LCM of Numerators i.e. for 67,10,186 is 62310

GCF of denominators i.e. for 21,863,230 is 1.

Thus, LCM of Fractions is 62310.Finally, LCM of Fractions for 67/21, 10/863, 186/230 is 62310.