Least Common Multiple of 6/68, 3/47, 6/21, 17/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/68, 3/47, 6/21, 17/433 quickly i.e. 102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/68, 3/47, 6/21, 17/433 is 102.

LCM(6/68, 3/47, 6/21, 17/433) = 102

LCM of 6/68, 3/47, 6/21, 17/433

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 6/68,3/47,6/21,17/433

Given numbers are 6/68,3/47,6/21,17/433

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 6,3,6,17

Least Common Multiple of Numerators i.e. LCM of 6,3,6,17 is 102.

GCF of Denominators means GCF of 68,47,21,433 as per the given fractions.

GCF of 68,47,21,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,3,6,17

LCM of Fractions 6/68,3/47,6/21,17/433 is 102

2 6, 3, 6, 17
3 3, 3, 3, 17
1, 1, 1, 17

∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 1 x 17 = 102

Least Common Multiple of 6,3,6,17 with GCF Formula

Least Common Multiple of 6,3,6,17 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 6,3,6,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,3,6,17) = 1

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

GCF(6,3,6,17) x common factors =1 x 18 = 18

LCM(6,3,6,17) = ( 6 × 3 × 6 × 17 ) / 18

LCM(6,3,6,17) = 1836 / 18

LCM(6,3,6,17) = 102


Lets's calculate GCF of 68,47,21,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102/1

Therefore the LCM of Fractions 6/68,3/47,6/21,17/433 is 102

Greatest Common Factor of 68,47,21,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,47,21,433 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 21

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

1,3,7,21

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 68,47,21,433 . The biggest common factor number is the GCF number.
So the greatest common factor 68,47,21,433 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 6/68, 3/47, 6/21, 17/433

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 6/68, 3/47, 6/21, 17/433?

Answer: LCM of Numerators as per given numbers 6/68, 3/47, 6/21, 17/433 is

LCM of Numerators i.e. for 6,3,6,17 is 102

GCF of denominators i.e. for 68,47,21,433 is 1.

Thus, LCM of Fractions is 102.Finally, LCM of Fractions for 6/68, 3/47, 6/21, 17/433 is 102.