Least Common Multiple of 9956/122, 8641/3782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9956/122, 8641/3782 quickly i.e. 86029796/122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9956/122, 8641/3782 is 86029796/122.

LCM(9956/122, 8641/3782) = 86029796/122

LCM of 9956/122, 8641/3782

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 9956/122,8641/3782

Given numbers are 9956/122,8641/3782

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 9956,8641

Least Common Multiple of Numerators i.e. LCM of 9956,8641 is 86029796.

GCF of Denominators means GCF of 122,3782 as per the given fractions.

GCF of 122,3782 is 122 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9956,8641

LCM of Fractions 9956/122,8641/3782 is 86029796/122

Given numbers has no common factors except 1. So, there LCM is their product i.e 86029796

Least Common Multiple of 9956,8641 with GCF Formula

Least Common Multiple of 9956,8641 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 9956,8641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9956,8641) = 1

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

GCF(9956,8641) x common factors =1 x 1 = 1

LCM(9956,8641) = ( 9956 × 8641 ) / 1

LCM(9956,8641) = 86029796 / 1

LCM(9956,8641) = 86029796


Lets's calculate GCF of 122,3782

2 122, 3782
61 61, 1891
1, 31

∴ So the GCF of the given numbers is 2 x 61 = 122

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86029796/122

Therefore the LCM of Fractions 9956/122,8641/3782 is 86029796/122

Greatest Common Factor of 122,3782 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,3782 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 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1,2,31,61,62,122,1891,3782

Greatest Common Factor

We found the factors 122,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 122,3782 is 122.


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 9956/122, 8641/3782

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 9956/122, 8641/3782?

Answer: LCM of Numerators as per given numbers 9956/122, 8641/3782 is

LCM of Numerators i.e. for 9956,8641 is 86029796

GCF of denominators i.e. for 122,3782 is 122.

Thus, LCM of Fractions is 86029796/122.Finally, LCM of Fractions for 9956/122, 8641/3782 is 86029796/122.