Least Common Multiple of 217/45, 968/1693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/45, 968/1693 quickly i.e. 210056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/45, 968/1693 is 210056.

LCM(217/45, 968/1693) = 210056

LCM of 217/45, 968/1693

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 217/45,968/1693

Given numbers are 217/45,968/1693

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 217,968

Least Common Multiple of Numerators i.e. LCM of 217,968 is 210056.

GCF of Denominators means GCF of 45,1693 as per the given fractions.

GCF of 45,1693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,968

LCM of Fractions 217/45,968/1693 is 210056

Given numbers has no common factors except 1. So, there LCM is their product i.e 210056

Least Common Multiple of 217,968 with GCF Formula

Least Common Multiple of 217,968 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 217,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,968) = 1

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

GCF(217,968) x common factors =1 x 1 = 1

LCM(217,968) = ( 217 × 968 ) / 1

LCM(217,968) = 210056 / 1

LCM(217,968) = 210056


Lets's calculate GCF of 45,1693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210056/1

Therefore the LCM of Fractions 217/45,968/1693 is 210056

Greatest Common Factor of 45,1693 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,1693 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 1693

List of positive integer factors of 1693 that divides 1693 without a remainder.

1,1693

Greatest Common Factor

We found the factors 45,1693 . The biggest common factor number is the GCF number.
So the greatest common factor 45,1693 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 217/45, 968/1693

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 217/45, 968/1693?

Answer: LCM of Numerators as per given numbers 217/45, 968/1693 is

LCM of Numerators i.e. for 217,968 is 210056

GCF of denominators i.e. for 45,1693 is 1.

Thus, LCM of Fractions is 210056.Finally, LCM of Fractions for 217/45, 968/1693 is 210056.