Least Common Multiple of 536/240, 441/520, 447/386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 536/240, 441/520, 447/386 quickly i.e. 17610012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/240, 441/520, 447/386 is 17610012.

LCM(536/240, 441/520, 447/386) = 17610012

LCM of 536/240, 441/520, 447/386

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 536/240,441/520,447/386

Given numbers are 536/240,441/520,447/386

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 536,441,447

Least Common Multiple of Numerators i.e. LCM of 536,441,447 is 35220024.

GCF of Denominators means GCF of 240,520,386 as per the given fractions.

GCF of 240,520,386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,441,447

LCM of Fractions 536/240,441/520,447/386 is 17610012

3 536, 441, 447
536, 147, 149

∴ So the LCM of the given numbers is 3 x 536 x 147 x 149 = 35220024

Least Common Multiple of 536,441,447 with GCF Formula

Least Common Multiple of 536,441,447 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 536,441,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,441,447) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(536,441,447) x common factors =1 x 3 = 3

LCM(536,441,447) = ( 536 × 441 × 447 ) / 3

LCM(536,441,447) = 105660072 / 3

LCM(536,441,447) = 35220024


Lets's calculate GCF of 240,520,386

2 240, 520, 386
120, 260, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35220024/2

Therefore the LCM of Fractions 536/240,441/520,447/386 is 17610012

Greatest Common Factor of 240,520,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,520,386 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

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 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 240,520,386 . The biggest common factor number is the GCF number.
So the greatest common factor 240,520,386 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 536/240, 441/520, 447/386

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 536/240, 441/520, 447/386?

Answer: LCM of Numerators as per given numbers 536/240, 441/520, 447/386 is

LCM of Numerators i.e. for 536,441,447 is 35220024

GCF of denominators i.e. for 240,520,386 is 2.

Thus, LCM of Fractions is 17610012.Finally, LCM of Fractions for 536/240, 441/520, 447/386 is 17610012.