Least Common Multiple of 566/988, 8686/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 566/988, 8686/306 quickly i.e. 1229069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/988, 8686/306 is 1229069.

LCM(566/988, 8686/306) = 1229069

LCM of 566/988, 8686/306

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 566/988,8686/306

Given numbers are 566/988,8686/306

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 566,8686

Least Common Multiple of Numerators i.e. LCM of 566,8686 is 2458138.

GCF of Denominators means GCF of 988,306 as per the given fractions.

GCF of 988,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,8686

LCM of Fractions 566/988,8686/306 is 1229069

2 566, 8686
283, 4343

∴ So the LCM of the given numbers is 2 x 283 x 4343 = 2458138

Least Common Multiple of 566,8686 with GCF Formula

Least Common Multiple of 566,8686 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 566,8686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,8686) = 2

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

GCF(566,8686) x common factors =2 x 1 = 2

LCM(566,8686) = ( 566 × 8686 ) / 2

LCM(566,8686) = 4916276 / 2

LCM(566,8686) = 2458138


Lets's calculate GCF of 988,306

2 988, 306
494, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2458138/2

Therefore the LCM of Fractions 566/988,8686/306 is 1229069

Greatest Common Factor of 988,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,306 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

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

Greatest Common Factor

We found the factors 988,306 . The biggest common factor number is the GCF number.
So the greatest common factor 988,306 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 566/988, 8686/306

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 566/988, 8686/306?

Answer: LCM of Numerators as per given numbers 566/988, 8686/306 is

LCM of Numerators i.e. for 566,8686 is 2458138

GCF of denominators i.e. for 988,306 is 2.

Thus, LCM of Fractions is 1229069.Finally, LCM of Fractions for 566/988, 8686/306 is 1229069.