Least Common Multiple of 9535/994, 8376/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9535/994, 8376/204 quickly i.e. 39932580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9535/994, 8376/204 is 39932580.

LCM(9535/994, 8376/204) = 39932580

LCM of 9535/994, 8376/204

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 9535/994,8376/204

Given numbers are 9535/994,8376/204

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 9535,8376

Least Common Multiple of Numerators i.e. LCM of 9535,8376 is 79865160.

GCF of Denominators means GCF of 994,204 as per the given fractions.

GCF of 994,204 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9535,8376

LCM of Fractions 9535/994,8376/204 is 39932580

Given numbers has no common factors except 1. So, there LCM is their product i.e 79865160

Least Common Multiple of 9535,8376 with GCF Formula

Least Common Multiple of 9535,8376 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 9535,8376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9535,8376) = 1

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

GCF(9535,8376) x common factors =1 x 1 = 1

LCM(9535,8376) = ( 9535 × 8376 ) / 1

LCM(9535,8376) = 79865160 / 1

LCM(9535,8376) = 79865160


Lets's calculate GCF of 994,204

2 994, 204
497, 102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79865160/2

Therefore the LCM of Fractions 9535/994,8376/204 is 39932580

Greatest Common Factor of 994,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,204 By Matching Biggest Common Factor Method

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 994,204 . The biggest common factor number is the GCF number.
So the greatest common factor 994,204 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9535/994, 8376/204

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 9535/994, 8376/204?

Answer: LCM of Numerators as per given numbers 9535/994, 8376/204 is

LCM of Numerators i.e. for 9535,8376 is 79865160

GCF of denominators i.e. for 994,204 is 2.

Thus, LCM of Fractions is 39932580.Finally, LCM of Fractions for 9535/994, 8376/204 is 39932580.