Least Common Multiple of 8563/122, 8966/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8563/122, 8966/658 quickly i.e. 38387929 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8563/122, 8966/658 is 38387929.

LCM(8563/122, 8966/658) = 38387929

LCM of 8563/122, 8966/658

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 8563/122,8966/658

Given numbers are 8563/122,8966/658

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 8563,8966

Least Common Multiple of Numerators i.e. LCM of 8563,8966 is 76775858.

GCF of Denominators means GCF of 122,658 as per the given fractions.

GCF of 122,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8563,8966

LCM of Fractions 8563/122,8966/658 is 38387929

Given numbers has no common factors except 1. So, there LCM is their product i.e 76775858

Least Common Multiple of 8563,8966 with GCF Formula

Least Common Multiple of 8563,8966 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 8563,8966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8563,8966) = 1

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

GCF(8563,8966) x common factors =1 x 1 = 1

LCM(8563,8966) = ( 8563 × 8966 ) / 1

LCM(8563,8966) = 76775858 / 1

LCM(8563,8966) = 76775858


Lets's calculate GCF of 122,658

2 122, 658
61, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76775858/2

Therefore the LCM of Fractions 8563/122,8966/658 is 38387929

Greatest Common Factor of 122,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,658 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 122,658 . The biggest common factor number is the GCF number.
So the greatest common factor 122,658 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 8563/122, 8966/658

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 8563/122, 8966/658?

Answer: LCM of Numerators as per given numbers 8563/122, 8966/658 is

LCM of Numerators i.e. for 8563,8966 is 76775858

GCF of denominators i.e. for 122,658 is 2.

Thus, LCM of Fractions is 38387929.Finally, LCM of Fractions for 8563/122, 8966/658 is 38387929.