Least Common Multiple of 74/405, 610/207, 610/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/405, 610/207, 610/103 quickly i.e. 22570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/405, 610/207, 610/103 is 22570.

LCM(74/405, 610/207, 610/103) = 22570

LCM of 74/405, 610/207, 610/103

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 74/405,610/207,610/103

Given numbers are 74/405,610/207,610/103

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 74,610,610

Least Common Multiple of Numerators i.e. LCM of 74,610,610 is 22570.

GCF of Denominators means GCF of 405,207,103 as per the given fractions.

GCF of 405,207,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,610,610

LCM of Fractions 74/405,610/207,610/103 is 22570

2 74, 610, 610
5 37, 305, 305
61 37, 61, 61
37, 1, 1

∴ So the LCM of the given numbers is 2 x 5 x 61 x 37 x 1 x 1 = 22570

Least Common Multiple of 74,610,610 with GCF Formula

Least Common Multiple of 74,610,610 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 74,610,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,610,610) = 2

common factors(in case of two or more numbers have common factors) = 610

GCF(74,610,610) x common factors =2 x 610 = 1220

LCM(74,610,610) = ( 74 × 610 × 610 ) / 1220

LCM(74,610,610) = 27535400 / 1220

LCM(74,610,610) = 22570


Lets's calculate GCF of 405,207,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22570/1

Therefore the LCM of Fractions 74/405,610/207,610/103 is 22570

Greatest Common Factor of 405,207,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,207,103 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 405,207,103 . The biggest common factor number is the GCF number.
So the greatest common factor 405,207,103 is 1.


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 74/405, 610/207, 610/103

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 74/405, 610/207, 610/103?

Answer: LCM of Numerators as per given numbers 74/405, 610/207, 610/103 is

LCM of Numerators i.e. for 74,610,610 is 22570

GCF of denominators i.e. for 405,207,103 is 1.

Thus, LCM of Fractions is 22570.Finally, LCM of Fractions for 74/405, 610/207, 610/103 is 22570.