Least Common Multiple of 414/29, 135/19, 650/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/29, 135/19, 650/290 quickly i.e. 403650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/29, 135/19, 650/290 is 403650.

LCM(414/29, 135/19, 650/290) = 403650

LCM of 414/29, 135/19, 650/290

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 414/29,135/19,650/290

Given numbers are 414/29,135/19,650/290

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 414,135,650

Least Common Multiple of Numerators i.e. LCM of 414,135,650 is 403650.

GCF of Denominators means GCF of 29,19,290 as per the given fractions.

GCF of 29,19,290 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,135,650

LCM of Fractions 414/29,135/19,650/290 is 403650

2 414, 135, 650
3 207, 135, 325
3 69, 45, 325
5 23, 15, 325
23, 3, 65

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 23 x 3 x 65 = 403650

Least Common Multiple of 414,135,650 with GCF Formula

Least Common Multiple of 414,135,650 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 414,135,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,135,650) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(414,135,650) x common factors =1 x 90 = 90

LCM(414,135,650) = ( 414 × 135 × 650 ) / 90

LCM(414,135,650) = 36328500 / 90

LCM(414,135,650) = 403650


Lets's calculate GCF of 29,19,290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403650/1

Therefore the LCM of Fractions 414/29,135/19,650/290 is 403650

Greatest Common Factor of 29,19,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,19,290 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 29,19,290 . The biggest common factor number is the GCF number.
So the greatest common factor 29,19,290 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 414/29, 135/19, 650/290

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 414/29, 135/19, 650/290?

Answer: LCM of Numerators as per given numbers 414/29, 135/19, 650/290 is

LCM of Numerators i.e. for 414,135,650 is 403650

GCF of denominators i.e. for 29,19,290 is 1.

Thus, LCM of Fractions is 403650.Finally, LCM of Fractions for 414/29, 135/19, 650/290 is 403650.