Least Common Multiple of 99/488, 3484/9394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/488, 3484/9394 quickly i.e. 344916/122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/488, 3484/9394 is 344916/122.

LCM(99/488, 3484/9394) = 344916/122

LCM of 99/488, 3484/9394

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 99/488,3484/9394

Given numbers are 99/488,3484/9394

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 99,3484

Least Common Multiple of Numerators i.e. LCM of 99,3484 is 344916.

GCF of Denominators means GCF of 488,9394 as per the given fractions.

GCF of 488,9394 is 122 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,3484

LCM of Fractions 99/488,3484/9394 is 344916/122

Given numbers has no common factors except 1. So, there LCM is their product i.e 344916

Least Common Multiple of 99,3484 with GCF Formula

Least Common Multiple of 99,3484 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 99,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,3484) = 1

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

GCF(99,3484) x common factors =1 x 1 = 1

LCM(99,3484) = ( 99 × 3484 ) / 1

LCM(99,3484) = 344916 / 1

LCM(99,3484) = 344916


Lets's calculate GCF of 488,9394

2 488, 9394
61 244, 4697
4, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344916/122

Therefore the LCM of Fractions 99/488,3484/9394 is 344916/122

Greatest Common Factor of 488,9394 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,9394 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 9394

List of positive integer factors of 9394 that divides 9394 without a remainder.

1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394

Greatest Common Factor

We found the factors 488,9394 . The biggest common factor number is the GCF number.
So the greatest common factor 488,9394 is 122.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/488, 3484/9394

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 99/488, 3484/9394?

Answer: LCM of Numerators as per given numbers 99/488, 3484/9394 is

LCM of Numerators i.e. for 99,3484 is 344916

GCF of denominators i.e. for 488,9394 is 122.

Thus, LCM of Fractions is 344916/122.Finally, LCM of Fractions for 99/488, 3484/9394 is 344916/122.