Least Common Multiple of 9289/99, 8354/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9289/99, 8354/902 quickly i.e. 77600306/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9289/99, 8354/902 is 77600306/11.

LCM(9289/99, 8354/902) = 77600306/11

LCM of 9289/99, 8354/902

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 9289/99,8354/902

Given numbers are 9289/99,8354/902

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 9289,8354

Least Common Multiple of Numerators i.e. LCM of 9289,8354 is 77600306.

GCF of Denominators means GCF of 99,902 as per the given fractions.

GCF of 99,902 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9289,8354

LCM of Fractions 9289/99,8354/902 is 77600306/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 77600306

Least Common Multiple of 9289,8354 with GCF Formula

Least Common Multiple of 9289,8354 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 9289,8354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9289,8354) = 1

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

GCF(9289,8354) x common factors =1 x 1 = 1

LCM(9289,8354) = ( 9289 × 8354 ) / 1

LCM(9289,8354) = 77600306 / 1

LCM(9289,8354) = 77600306


Lets's calculate GCF of 99,902

11 99, 902
9, 82

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77600306/11

Therefore the LCM of Fractions 9289/99,8354/902 is 77600306/11

Greatest Common Factor of 99,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,902 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 99,902 . The biggest common factor number is the GCF number.
So the greatest common factor 99,902 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9289/99, 8354/902

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 9289/99, 8354/902?

Answer: LCM of Numerators as per given numbers 9289/99, 8354/902 is

LCM of Numerators i.e. for 9289,8354 is 77600306

GCF of denominators i.e. for 99,902 is 11.

Thus, LCM of Fractions is 77600306/11.Finally, LCM of Fractions for 9289/99, 8354/902 is 77600306/11.