Least Common Multiple of 20/414, 505/539, 458/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/414, 505/539, 458/880 quickly i.e. 462580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/414, 505/539, 458/880 is 462580.

LCM(20/414, 505/539, 458/880) = 462580

LCM of 20/414, 505/539, 458/880

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 20/414,505/539,458/880

Given numbers are 20/414,505/539,458/880

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 20,505,458

Least Common Multiple of Numerators i.e. LCM of 20,505,458 is 462580.

GCF of Denominators means GCF of 414,539,880 as per the given fractions.

GCF of 414,539,880 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,505,458

LCM of Fractions 20/414,505/539,458/880 is 462580

2 20, 505, 458
5 10, 505, 229
2, 101, 229

∴ So the LCM of the given numbers is 2 x 5 x 2 x 101 x 229 = 462580

Least Common Multiple of 20,505,458 with GCF Formula

Least Common Multiple of 20,505,458 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 20,505,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,505,458) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(20,505,458) x common factors =1 x 10 = 10

LCM(20,505,458) = ( 20 × 505 × 458 ) / 10

LCM(20,505,458) = 4625800 / 10

LCM(20,505,458) = 462580


Lets's calculate GCF of 414,539,880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462580/1

Therefore the LCM of Fractions 20/414,505/539,458/880 is 462580

Greatest Common Factor of 414,539,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,539,880 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 414,539,880 . The biggest common factor number is the GCF number.
So the greatest common factor 414,539,880 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 20/414, 505/539, 458/880

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 20/414, 505/539, 458/880?

Answer: LCM of Numerators as per given numbers 20/414, 505/539, 458/880 is

LCM of Numerators i.e. for 20,505,458 is 462580

GCF of denominators i.e. for 414,539,880 is 1.

Thus, LCM of Fractions is 462580.Finally, LCM of Fractions for 20/414, 505/539, 458/880 is 462580.