Least Common Multiple of 99/306, 1350/4366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/306, 1350/4366 quickly i.e. 7425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/306, 1350/4366 is 7425.

LCM(99/306, 1350/4366) = 7425

LCM of 99/306, 1350/4366

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 99/306,1350/4366

Given numbers are 99/306,1350/4366

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 99,1350

Least Common Multiple of Numerators i.e. LCM of 99,1350 is 14850.

GCF of Denominators means GCF of 306,4366 as per the given fractions.

GCF of 306,4366 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,1350

LCM of Fractions 99/306,1350/4366 is 7425

3 99, 1350
3 33, 450
11, 150

∴ So the LCM of the given numbers is 3 x 3 x 11 x 150 = 14850

Least Common Multiple of 99,1350 with GCF Formula

Least Common Multiple of 99,1350 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 99,1350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,1350) = 9

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

GCF(99,1350) x common factors =9 x 1 = 9

LCM(99,1350) = ( 99 × 1350 ) / 9

LCM(99,1350) = 133650 / 9

LCM(99,1350) = 14850


Lets's calculate GCF of 306,4366

2 306, 4366
153, 2183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14850/2

Therefore the LCM of Fractions 99/306,1350/4366 is 7425

Greatest Common Factor of 306,4366 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,4366 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 4366

List of positive integer factors of 4366 that divides 4366 without a remainder.

1,2,37,59,74,118,2183,4366

Greatest Common Factor

We found the factors 306,4366 . The biggest common factor number is the GCF number.
So the greatest common factor 306,4366 is 2.


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Frequently Asked Questions on Fractional LCM of 99/306, 1350/4366

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 99/306, 1350/4366?

Answer: LCM of Numerators as per given numbers 99/306, 1350/4366 is

LCM of Numerators i.e. for 99,1350 is 14850

GCF of denominators i.e. for 306,4366 is 2.

Thus, LCM of Fractions is 7425.Finally, LCM of Fractions for 99/306, 1350/4366 is 7425.