Least Common Multiple of 99/298, 9594/9628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/298, 9594/9628 quickly i.e. 52767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/298, 9594/9628 is 52767.

LCM(99/298, 9594/9628) = 52767

LCM of 99/298, 9594/9628

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 99/298,9594/9628

Given numbers are 99/298,9594/9628

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 99,9594

Least Common Multiple of Numerators i.e. LCM of 99,9594 is 105534.

GCF of Denominators means GCF of 298,9628 as per the given fractions.

GCF of 298,9628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,9594

LCM of Fractions 99/298,9594/9628 is 52767

3 99, 9594
3 33, 3198
11, 1066

∴ So the LCM of the given numbers is 3 x 3 x 11 x 1066 = 105534

Least Common Multiple of 99,9594 with GCF Formula

Least Common Multiple of 99,9594 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 99,9594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,9594) = 9

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

GCF(99,9594) x common factors =9 x 1 = 9

LCM(99,9594) = ( 99 × 9594 ) / 9

LCM(99,9594) = 949806 / 9

LCM(99,9594) = 105534


Lets's calculate GCF of 298,9628

2 298, 9628
149, 4814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105534/2

Therefore the LCM of Fractions 99/298,9594/9628 is 52767

Greatest Common Factor of 298,9628 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,9628 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1,2,4,29,58,83,116,166,332,2407,4814,9628

Greatest Common Factor

We found the factors 298,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 298,9628 is 2.


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Frequently Asked Questions on Fractional LCM of 99/298, 9594/9628

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 99/298, 9594/9628?

Answer: LCM of Numerators as per given numbers 99/298, 9594/9628 is

LCM of Numerators i.e. for 99,9594 is 105534

GCF of denominators i.e. for 298,9628 is 2.

Thus, LCM of Fractions is 52767.Finally, LCM of Fractions for 99/298, 9594/9628 is 52767.