Least Common Multiple of 414/638, 4923/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 414/638, 4923/414 quickly i.e. 113229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/638, 4923/414 is 113229.

LCM(414/638, 4923/414) = 113229

LCM of 414/638, 4923/414

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 414/638,4923/414

Given numbers are 414/638,4923/414

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 414,4923

Least Common Multiple of Numerators i.e. LCM of 414,4923 is 226458.

GCF of Denominators means GCF of 638,414 as per the given fractions.

GCF of 638,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,4923

LCM of Fractions 414/638,4923/414 is 113229

3 414, 4923
3 138, 1641
46, 547

∴ So the LCM of the given numbers is 3 x 3 x 46 x 547 = 226458

Least Common Multiple of 414,4923 with GCF Formula

Least Common Multiple of 414,4923 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 414,4923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,4923) = 9

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

GCF(414,4923) x common factors =9 x 1 = 9

LCM(414,4923) = ( 414 × 4923 ) / 9

LCM(414,4923) = 2038122 / 9

LCM(414,4923) = 226458


Lets's calculate GCF of 638,414

2 638, 414
319, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226458/2

Therefore the LCM of Fractions 414/638,4923/414 is 113229

Greatest Common Factor of 638,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,414 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 638,414 . The biggest common factor number is the GCF number.
So the greatest common factor 638,414 is 2.


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Frequently Asked Questions on Fractional LCM of 414/638, 4923/414

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 414/638, 4923/414?

Answer: LCM of Numerators as per given numbers 414/638, 4923/414 is

LCM of Numerators i.e. for 414,4923 is 226458

GCF of denominators i.e. for 638,414 is 2.

Thus, LCM of Fractions is 113229.Finally, LCM of Fractions for 414/638, 4923/414 is 113229.