Least Common Multiple of 627/42, 413/82, 658/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 627/42, 413/82, 658/226 quickly i.e. 12170697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/42, 413/82, 658/226 is 12170697.

LCM(627/42, 413/82, 658/226) = 12170697

LCM of 627/42, 413/82, 658/226

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 627/42,413/82,658/226

Given numbers are 627/42,413/82,658/226

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 627,413,658

Least Common Multiple of Numerators i.e. LCM of 627,413,658 is 24341394.

GCF of Denominators means GCF of 42,82,226 as per the given fractions.

GCF of 42,82,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,413,658

LCM of Fractions 627/42,413/82,658/226 is 12170697

7 627, 413, 658
627, 59, 94

∴ So the LCM of the given numbers is 7 x 627 x 59 x 94 = 24341394

Least Common Multiple of 627,413,658 with GCF Formula

Least Common Multiple of 627,413,658 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 627,413,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,413,658) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(627,413,658) x common factors =1 x 7 = 7

LCM(627,413,658) = ( 627 × 413 × 658 ) / 7

LCM(627,413,658) = 170389758 / 7

LCM(627,413,658) = 24341394


Lets's calculate GCF of 42,82,226

2 42, 82, 226
21, 41, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24341394/2

Therefore the LCM of Fractions 627/42,413/82,658/226 is 12170697

Greatest Common Factor of 42,82,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,82,226 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 42,82,226 . The biggest common factor number is the GCF number.
So the greatest common factor 42,82,226 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 627/42, 413/82, 658/226

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 627/42, 413/82, 658/226?

Answer: LCM of Numerators as per given numbers 627/42, 413/82, 658/226 is

LCM of Numerators i.e. for 627,413,658 is 24341394

GCF of denominators i.e. for 42,82,226 is 2.

Thus, LCM of Fractions is 12170697.Finally, LCM of Fractions for 627/42, 413/82, 658/226 is 12170697.