Least Common Multiple of 986/666, 171/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 986/666, 171/304 quickly i.e. 84303 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 986/666, 171/304 is 84303.

LCM(986/666, 171/304) = 84303

LCM of 986/666, 171/304

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 986/666,171/304

Given numbers are 986/666,171/304

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 986,171

Least Common Multiple of Numerators i.e. LCM of 986,171 is 168606.

GCF of Denominators means GCF of 666,304 as per the given fractions.

GCF of 666,304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 986,171

LCM of Fractions 986/666,171/304 is 84303

Given numbers has no common factors except 1. So, there LCM is their product i.e 168606

Least Common Multiple of 986,171 with GCF Formula

Least Common Multiple of 986,171 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 986,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,171) = 1

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

GCF(986,171) x common factors =1 x 1 = 1

LCM(986,171) = ( 986 × 171 ) / 1

LCM(986,171) = 168606 / 1

LCM(986,171) = 168606


Lets's calculate GCF of 666,304

2 666, 304
333, 152

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168606/2

Therefore the LCM of Fractions 986/666,171/304 is 84303

Greatest Common Factor of 666,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,304 By Matching Biggest Common Factor Method

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 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 666,304 . The biggest common factor number is the GCF number.
So the greatest common factor 666,304 is 2.


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 986/666, 171/304

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 986/666, 171/304?

Answer: LCM of Numerators as per given numbers 986/666, 171/304 is

LCM of Numerators i.e. for 986,171 is 168606

GCF of denominators i.e. for 666,304 is 2.

Thus, LCM of Fractions is 84303.Finally, LCM of Fractions for 986/666, 171/304 is 84303.