Least Common Multiple of 978/306, 243/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/306, 243/693 quickly i.e. 8802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/306, 243/693 is 8802.

LCM(978/306, 243/693) = 8802

LCM of 978/306, 243/693

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 978/306,243/693

Given numbers are 978/306,243/693

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 978,243

Least Common Multiple of Numerators i.e. LCM of 978,243 is 79218.

GCF of Denominators means GCF of 306,693 as per the given fractions.

GCF of 306,693 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,243

LCM of Fractions 978/306,243/693 is 8802

3 978, 243
326, 81

∴ So the LCM of the given numbers is 3 x 326 x 81 = 79218

Least Common Multiple of 978,243 with GCF Formula

Least Common Multiple of 978,243 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 978,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,243) = 3

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

GCF(978,243) x common factors =3 x 1 = 3

LCM(978,243) = ( 978 × 243 ) / 3

LCM(978,243) = 237654 / 3

LCM(978,243) = 79218


Lets's calculate GCF of 306,693

3 306, 693
3 102, 231
34, 77

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79218/9

Therefore the LCM of Fractions 978/306,243/693 is 8802

Greatest Common Factor of 306,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,693 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 306,693 . The biggest common factor number is the GCF number.
So the greatest common factor 306,693 is 9.


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 978/306, 243/693

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 978/306, 243/693?

Answer: LCM of Numerators as per given numbers 978/306, 243/693 is

LCM of Numerators i.e. for 978,243 is 79218

GCF of denominators i.e. for 306,693 is 9.

Thus, LCM of Fractions is 8802.Finally, LCM of Fractions for 978/306, 243/693 is 8802.