Least Common Multiple of 205/15, 4012/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/15, 4012/458 quickly i.e. 822460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/15, 4012/458 is 822460.

LCM(205/15, 4012/458) = 822460

LCM of 205/15, 4012/458

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 205/15,4012/458

Given numbers are 205/15,4012/458

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 205,4012

Least Common Multiple of Numerators i.e. LCM of 205,4012 is 822460.

GCF of Denominators means GCF of 15,458 as per the given fractions.

GCF of 15,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,4012

LCM of Fractions 205/15,4012/458 is 822460

Given numbers has no common factors except 1. So, there LCM is their product i.e 822460

Least Common Multiple of 205,4012 with GCF Formula

Least Common Multiple of 205,4012 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 205,4012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,4012) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(205,4012) x common factors =1 x 1 = 1

LCM(205,4012) = ( 205 × 4012 ) / 1

LCM(205,4012) = 822460 / 1

LCM(205,4012) = 822460


Lets's calculate GCF of 15,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 822460/1

Therefore the LCM of Fractions 205/15,4012/458 is 822460

Greatest Common Factor of 15,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,458 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 15,458 . The biggest common factor number is the GCF number.
So the greatest common factor 15,458 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 205/15, 4012/458

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 205/15, 4012/458?

Answer: LCM of Numerators as per given numbers 205/15, 4012/458 is

LCM of Numerators i.e. for 205,4012 is 822460

GCF of denominators i.e. for 15,458 is 1.

Thus, LCM of Fractions is 822460.Finally, LCM of Fractions for 205/15, 4012/458 is 822460.