Least Common Multiple of 34/230, 13/485, 406/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/230, 13/485, 406/936 quickly i.e. 89726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/230, 13/485, 406/936 is 89726.

LCM(34/230, 13/485, 406/936) = 89726

LCM of 34/230, 13/485, 406/936

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 34/230,13/485,406/936

Given numbers are 34/230,13/485,406/936

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 34,13,406

Least Common Multiple of Numerators i.e. LCM of 34,13,406 is 89726.

GCF of Denominators means GCF of 230,485,936 as per the given fractions.

GCF of 230,485,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,13,406

LCM of Fractions 34/230,13/485,406/936 is 89726

2 34, 13, 406
17, 13, 203

∴ So the LCM of the given numbers is 2 x 17 x 13 x 203 = 89726

Least Common Multiple of 34,13,406 with GCF Formula

Least Common Multiple of 34,13,406 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 34,13,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,13,406) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,13,406) x common factors =1 x 2 = 2

LCM(34,13,406) = ( 34 × 13 × 406 ) / 2

LCM(34,13,406) = 179452 / 2

LCM(34,13,406) = 89726


Lets's calculate GCF of 230,485,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89726/1

Therefore the LCM of Fractions 34/230,13/485,406/936 is 89726

Greatest Common Factor of 230,485,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,485,936 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 230,485,936 . The biggest common factor number is the GCF number.
So the greatest common factor 230,485,936 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 34/230, 13/485, 406/936

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 34/230, 13/485, 406/936?

Answer: LCM of Numerators as per given numbers 34/230, 13/485, 406/936 is

LCM of Numerators i.e. for 34,13,406 is 89726

GCF of denominators i.e. for 230,485,936 is 1.

Thus, LCM of Fractions is 89726.Finally, LCM of Fractions for 34/230, 13/485, 406/936 is 89726.