Least Common Multiple of 17/21, 981/68, 305/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/21, 981/68, 305/668 quickly i.e. 5086485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/21, 981/68, 305/668 is 5086485.

LCM(17/21, 981/68, 305/668) = 5086485

LCM of 17/21, 981/68, 305/668

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 17/21,981/68,305/668

Given numbers are 17/21,981/68,305/668

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 17,981,305

Least Common Multiple of Numerators i.e. LCM of 17,981,305 is 5086485.

GCF of Denominators means GCF of 21,68,668 as per the given fractions.

GCF of 21,68,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,981,305

LCM of Fractions 17/21,981/68,305/668 is 5086485

Given numbers has no common factors except 1. So, there LCM is their product i.e 5086485

Least Common Multiple of 17,981,305 with GCF Formula

Least Common Multiple of 17,981,305 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 17,981,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,981,305) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,981,305) x common factors =1 x 1 = 1

LCM(17,981,305) = ( 17 × 981 × 305 ) / 1

LCM(17,981,305) = 5086485 / 1

LCM(17,981,305) = 5086485


Lets's calculate GCF of 21,68,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5086485/1

Therefore the LCM of Fractions 17/21,981/68,305/668 is 5086485

Greatest Common Factor of 21,68,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,68,668 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 68

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

1,2,4,17,34,68

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 21,68,668 . The biggest common factor number is the GCF number.
So the greatest common factor 21,68,668 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 17/21, 981/68, 305/668

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 17/21, 981/68, 305/668?

Answer: LCM of Numerators as per given numbers 17/21, 981/68, 305/668 is

LCM of Numerators i.e. for 17,981,305 is 5086485

GCF of denominators i.e. for 21,68,668 is 1.

Thus, LCM of Fractions is 5086485.Finally, LCM of Fractions for 17/21, 981/68, 305/668 is 5086485.