Least Common Multiple of 65/206, 390/520, 411/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/206, 390/520, 411/781 quickly i.e. 53430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/206, 390/520, 411/781 is 53430.

LCM(65/206, 390/520, 411/781) = 53430

LCM of 65/206, 390/520, 411/781

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 65/206,390/520,411/781

Given numbers are 65/206,390/520,411/781

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 65,390,411

Least Common Multiple of Numerators i.e. LCM of 65,390,411 is 53430.

GCF of Denominators means GCF of 206,520,781 as per the given fractions.

GCF of 206,520,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,390,411

LCM of Fractions 65/206,390/520,411/781 is 53430

3 65, 390, 411
5 65, 130, 137
13 13, 26, 137
1, 2, 137

∴ So the LCM of the given numbers is 3 x 5 x 13 x 1 x 2 x 137 = 53430

Least Common Multiple of 65,390,411 with GCF Formula

Least Common Multiple of 65,390,411 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 65,390,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,390,411) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(65,390,411) x common factors =1 x 195 = 195

LCM(65,390,411) = ( 65 × 390 × 411 ) / 195

LCM(65,390,411) = 10418850 / 195

LCM(65,390,411) = 53430


Lets's calculate GCF of 206,520,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53430/1

Therefore the LCM of Fractions 65/206,390/520,411/781 is 53430

Greatest Common Factor of 206,520,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,520,781 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 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 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 206,520,781 . The biggest common factor number is the GCF number.
So the greatest common factor 206,520,781 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 65/206, 390/520, 411/781

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 65/206, 390/520, 411/781?

Answer: LCM of Numerators as per given numbers 65/206, 390/520, 411/781 is

LCM of Numerators i.e. for 65,390,411 is 53430

GCF of denominators i.e. for 206,520,781 is 1.

Thus, LCM of Fractions is 53430.Finally, LCM of Fractions for 65/206, 390/520, 411/781 is 53430.