Least Common Multiple of 999/294, 7228/3615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 999/294, 7228/3615 quickly i.e. 2406924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/294, 7228/3615 is 2406924.

LCM(999/294, 7228/3615) = 2406924

LCM of 999/294, 7228/3615

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 999/294,7228/3615

Given numbers are 999/294,7228/3615

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 999,7228

Least Common Multiple of Numerators i.e. LCM of 999,7228 is 7220772.

GCF of Denominators means GCF of 294,3615 as per the given fractions.

GCF of 294,3615 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,7228

LCM of Fractions 999/294,7228/3615 is 2406924

Given numbers has no common factors except 1. So, there LCM is their product i.e 7220772

Least Common Multiple of 999,7228 with GCF Formula

Least Common Multiple of 999,7228 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 999,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,7228) = 1

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

GCF(999,7228) x common factors =1 x 1 = 1

LCM(999,7228) = ( 999 × 7228 ) / 1

LCM(999,7228) = 7220772 / 1

LCM(999,7228) = 7220772


Lets's calculate GCF of 294,3615

3 294, 3615
98, 1205

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7220772/3

Therefore the LCM of Fractions 999/294,7228/3615 is 2406924

Greatest Common Factor of 294,3615 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,3615 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 3615

List of positive integer factors of 3615 that divides 3615 without a remainder.

1,3,5,15,241,723,1205,3615

Greatest Common Factor

We found the factors 294,3615 . The biggest common factor number is the GCF number.
So the greatest common factor 294,3615 is 3.


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Frequently Asked Questions on Fractional LCM of 999/294, 7228/3615

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 999/294, 7228/3615?

Answer: LCM of Numerators as per given numbers 999/294, 7228/3615 is

LCM of Numerators i.e. for 999,7228 is 7220772

GCF of denominators i.e. for 294,3615 is 3.

Thus, LCM of Fractions is 2406924.Finally, LCM of Fractions for 999/294, 7228/3615 is 2406924.