Least Common Multiple of 428/520, 362/800, 570/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/520, 362/800, 570/165 quickly i.e. 4415676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/520, 362/800, 570/165 is 4415676.

LCM(428/520, 362/800, 570/165) = 4415676

LCM of 428/520, 362/800, 570/165

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 428/520,362/800,570/165

Given numbers are 428/520,362/800,570/165

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 428,362,570

Least Common Multiple of Numerators i.e. LCM of 428,362,570 is 22078380.

GCF of Denominators means GCF of 520,800,165 as per the given fractions.

GCF of 520,800,165 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,362,570

LCM of Fractions 428/520,362/800,570/165 is 4415676

2 428, 362, 570
214, 181, 285

∴ So the LCM of the given numbers is 2 x 214 x 181 x 285 = 22078380

Least Common Multiple of 428,362,570 with GCF Formula

Least Common Multiple of 428,362,570 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 428,362,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,362,570) = 2

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

GCF(428,362,570) x common factors =2 x 2 = 4

LCM(428,362,570) = ( 428 × 362 × 570 ) / 4

LCM(428,362,570) = 88313520 / 4

LCM(428,362,570) = 22078380


Lets's calculate GCF of 520,800,165

5 520, 800, 165
104, 160, 33

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22078380/5

Therefore the LCM of Fractions 428/520,362/800,570/165 is 4415676

Greatest Common Factor of 520,800,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,800,165 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 520,800,165 . The biggest common factor number is the GCF number.
So the greatest common factor 520,800,165 is 5.


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 428/520, 362/800, 570/165

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 428/520, 362/800, 570/165?

Answer: LCM of Numerators as per given numbers 428/520, 362/800, 570/165 is

LCM of Numerators i.e. for 428,362,570 is 22078380

GCF of denominators i.e. for 520,800,165 is 5.

Thus, LCM of Fractions is 4415676.Finally, LCM of Fractions for 428/520, 362/800, 570/165 is 4415676.