Least Common Multiple of 528/206, 284/460, 384/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/206, 284/460, 384/110 quickly i.e. 149952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/206, 284/460, 384/110 is 149952.

LCM(528/206, 284/460, 384/110) = 149952

LCM of 528/206, 284/460, 384/110

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 528/206,284/460,384/110

Given numbers are 528/206,284/460,384/110

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 528,284,384

Least Common Multiple of Numerators i.e. LCM of 528,284,384 is 299904.

GCF of Denominators means GCF of 206,460,110 as per the given fractions.

GCF of 206,460,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,284,384

LCM of Fractions 528/206,284/460,384/110 is 149952

2 528, 284, 384
2 264, 142, 192
2 132, 71, 96
2 66, 71, 48
3 33, 71, 24
11, 71, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 71 x 8 = 299904

Least Common Multiple of 528,284,384 with GCF Formula

Least Common Multiple of 528,284,384 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 528,284,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,284,384) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(528,284,384) x common factors =4 x 48 = 192

LCM(528,284,384) = ( 528 × 284 × 384 ) / 192

LCM(528,284,384) = 57581568 / 192

LCM(528,284,384) = 299904


Lets's calculate GCF of 206,460,110

2 206, 460, 110
103, 230, 55

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299904/2

Therefore the LCM of Fractions 528/206,284/460,384/110 is 149952

Greatest Common Factor of 206,460,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,460,110 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 206,460,110 . The biggest common factor number is the GCF number.
So the greatest common factor 206,460,110 is 2.


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 528/206, 284/460, 384/110

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 528/206, 284/460, 384/110?

Answer: LCM of Numerators as per given numbers 528/206, 284/460, 384/110 is

LCM of Numerators i.e. for 528,284,384 is 299904

GCF of denominators i.e. for 206,460,110 is 2.

Thus, LCM of Fractions is 149952.Finally, LCM of Fractions for 528/206, 284/460, 384/110 is 149952.