Least Common Multiple of 999/358, 2352/9402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 999/358, 2352/9402 quickly i.e. 391608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/358, 2352/9402 is 391608.

LCM(999/358, 2352/9402) = 391608

LCM of 999/358, 2352/9402

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 999/358,2352/9402

Given numbers are 999/358,2352/9402

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 999,2352

Least Common Multiple of Numerators i.e. LCM of 999,2352 is 783216.

GCF of Denominators means GCF of 358,9402 as per the given fractions.

GCF of 358,9402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,2352

LCM of Fractions 999/358,2352/9402 is 391608

3 999, 2352
333, 784

∴ So the LCM of the given numbers is 3 x 333 x 784 = 783216

Least Common Multiple of 999,2352 with GCF Formula

Least Common Multiple of 999,2352 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 999,2352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,2352) = 3

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

GCF(999,2352) x common factors =3 x 1 = 3

LCM(999,2352) = ( 999 × 2352 ) / 3

LCM(999,2352) = 2349648 / 3

LCM(999,2352) = 783216


Lets's calculate GCF of 358,9402

2 358, 9402
179, 4701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 783216/2

Therefore the LCM of Fractions 999/358,2352/9402 is 391608

Greatest Common Factor of 358,9402 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,9402 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 9402

List of positive integer factors of 9402 that divides 9402 without a remainder.

1,2,3,6,1567,3134,4701,9402

Greatest Common Factor

We found the factors 358,9402 . The biggest common factor number is the GCF number.
So the greatest common factor 358,9402 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 999/358, 2352/9402

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 999/358, 2352/9402?

Answer: LCM of Numerators as per given numbers 999/358, 2352/9402 is

LCM of Numerators i.e. for 999,2352 is 783216

GCF of denominators i.e. for 358,9402 is 2.

Thus, LCM of Fractions is 391608.Finally, LCM of Fractions for 999/358, 2352/9402 is 391608.