Least Common Multiple of 3474/626, 9936/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3474/626, 9936/334 quickly i.e. 958824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3474/626, 9936/334 is 958824.

LCM(3474/626, 9936/334) = 958824

LCM of 3474/626, 9936/334

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 3474/626,9936/334

Given numbers are 3474/626,9936/334

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 3474,9936

Least Common Multiple of Numerators i.e. LCM of 3474,9936 is 1917648.

GCF of Denominators means GCF of 626,334 as per the given fractions.

GCF of 626,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3474,9936

LCM of Fractions 3474/626,9936/334 is 958824

2 3474, 9936
3 1737, 4968
3 579, 1656
193, 552

∴ So the LCM of the given numbers is 2 x 3 x 3 x 193 x 552 = 1917648

Least Common Multiple of 3474,9936 with GCF Formula

Least Common Multiple of 3474,9936 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 3474,9936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3474,9936) = 18

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

GCF(3474,9936) x common factors =18 x 1 = 18

LCM(3474,9936) = ( 3474 × 9936 ) / 18

LCM(3474,9936) = 34517664 / 18

LCM(3474,9936) = 1917648


Lets's calculate GCF of 626,334

2 626, 334
313, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1917648/2

Therefore the LCM of Fractions 3474/626,9936/334 is 958824

Greatest Common Factor of 626,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,334 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 626,334 . The biggest common factor number is the GCF number.
So the greatest common factor 626,334 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3474/626, 9936/334

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 3474/626, 9936/334?

Answer: LCM of Numerators as per given numbers 3474/626, 9936/334 is

LCM of Numerators i.e. for 3474,9936 is 1917648

GCF of denominators i.e. for 626,334 is 2.

Thus, LCM of Fractions is 958824.Finally, LCM of Fractions for 3474/626, 9936/334 is 958824.