Least Common Multiple of 627/995, 306/450, 838/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 627/995, 306/450, 838/638 quickly i.e. 26796726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/995, 306/450, 838/638 is 26796726.

LCM(627/995, 306/450, 838/638) = 26796726

LCM of 627/995, 306/450, 838/638

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 627/995,306/450,838/638

Given numbers are 627/995,306/450,838/638

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 627,306,838

Least Common Multiple of Numerators i.e. LCM of 627,306,838 is 26796726.

GCF of Denominators means GCF of 995,450,638 as per the given fractions.

GCF of 995,450,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,306,838

LCM of Fractions 627/995,306/450,838/638 is 26796726

2 627, 306, 838
3 627, 153, 419
209, 51, 419

∴ So the LCM of the given numbers is 2 x 3 x 209 x 51 x 419 = 26796726

Least Common Multiple of 627,306,838 with GCF Formula

Least Common Multiple of 627,306,838 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 627,306,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,306,838) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(627,306,838) x common factors =1 x 6 = 6

LCM(627,306,838) = ( 627 × 306 × 838 ) / 6

LCM(627,306,838) = 160780356 / 6

LCM(627,306,838) = 26796726


Lets's calculate GCF of 995,450,638

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26796726/1

Therefore the LCM of Fractions 627/995,306/450,838/638 is 26796726

Greatest Common Factor of 995,450,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 995,450,638 By Matching Biggest Common Factor Method

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 638

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

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

Greatest Common Factor

We found the factors 995,450,638 . The biggest common factor number is the GCF number.
So the greatest common factor 995,450,638 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 627/995, 306/450, 838/638

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 627/995, 306/450, 838/638?

Answer: LCM of Numerators as per given numbers 627/995, 306/450, 838/638 is

LCM of Numerators i.e. for 627,306,838 is 26796726

GCF of denominators i.e. for 995,450,638 is 1.

Thus, LCM of Fractions is 26796726.Finally, LCM of Fractions for 627/995, 306/450, 838/638 is 26796726.