Least Common Multiple of 626/213, 9254/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 626/213, 9254/138 quickly i.e. 2896502/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/213, 9254/138 is 2896502/3.

LCM(626/213, 9254/138) = 2896502/3

LCM of 626/213, 9254/138

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 626/213,9254/138

Given numbers are 626/213,9254/138

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 626,9254

Least Common Multiple of Numerators i.e. LCM of 626,9254 is 2896502.

GCF of Denominators means GCF of 213,138 as per the given fractions.

GCF of 213,138 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,9254

LCM of Fractions 626/213,9254/138 is 2896502/3

2 626, 9254
313, 4627

∴ So the LCM of the given numbers is 2 x 313 x 4627 = 2896502

Least Common Multiple of 626,9254 with GCF Formula

Least Common Multiple of 626,9254 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 626,9254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,9254) = 2

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

GCF(626,9254) x common factors =2 x 1 = 2

LCM(626,9254) = ( 626 × 9254 ) / 2

LCM(626,9254) = 5793004 / 2

LCM(626,9254) = 2896502


Lets's calculate GCF of 213,138

3 213, 138
71, 46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2896502/3

Therefore the LCM of Fractions 626/213,9254/138 is 2896502/3

Greatest Common Factor of 213,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,138 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 213,138 . The biggest common factor number is the GCF number.
So the greatest common factor 213,138 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 626/213, 9254/138

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 626/213, 9254/138?

Answer: LCM of Numerators as per given numbers 626/213, 9254/138 is

LCM of Numerators i.e. for 626,9254 is 2896502

GCF of denominators i.e. for 213,138 is 3.

Thus, LCM of Fractions is 2896502/3.Finally, LCM of Fractions for 626/213, 9254/138 is 2896502/3.