Least Common Multiple of 78/309, 17/666, 986/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/309, 17/666, 986/231 quickly i.e. 12818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/309, 17/666, 986/231 is 12818.

LCM(78/309, 17/666, 986/231) = 12818

LCM of 78/309, 17/666, 986/231

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 78/309,17/666,986/231

Given numbers are 78/309,17/666,986/231

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 78,17,986

Least Common Multiple of Numerators i.e. LCM of 78,17,986 is 38454.

GCF of Denominators means GCF of 309,666,231 as per the given fractions.

GCF of 309,666,231 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,17,986

LCM of Fractions 78/309,17/666,986/231 is 12818

2 78, 17, 986
17 39, 17, 493
39, 1, 29

∴ So the LCM of the given numbers is 2 x 17 x 39 x 1 x 29 = 38454

Least Common Multiple of 78,17,986 with GCF Formula

Least Common Multiple of 78,17,986 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 78,17,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,17,986) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(78,17,986) x common factors =1 x 34 = 34

LCM(78,17,986) = ( 78 × 17 × 986 ) / 34

LCM(78,17,986) = 1307436 / 34

LCM(78,17,986) = 38454


Lets's calculate GCF of 309,666,231

3 309, 666, 231
103, 222, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38454/3

Therefore the LCM of Fractions 78/309,17/666,986/231 is 12818

Greatest Common Factor of 309,666,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,666,231 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 309,666,231 . The biggest common factor number is the GCF number.
So the greatest common factor 309,666,231 is 3.


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 78/309, 17/666, 986/231

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 78/309, 17/666, 986/231?

Answer: LCM of Numerators as per given numbers 78/309, 17/666, 986/231 is

LCM of Numerators i.e. for 78,17,986 is 38454

GCF of denominators i.e. for 309,666,231 is 3.

Thus, LCM of Fractions is 12818.Finally, LCM of Fractions for 78/309, 17/666, 986/231 is 12818.