Least Common Multiple of 20/911, 707/291, 259/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/911, 707/291, 259/414 quickly i.e. 523180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/911, 707/291, 259/414 is 523180.

LCM(20/911, 707/291, 259/414) = 523180

LCM of 20/911, 707/291, 259/414

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 20/911,707/291,259/414

Given numbers are 20/911,707/291,259/414

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 20,707,259

Least Common Multiple of Numerators i.e. LCM of 20,707,259 is 523180.

GCF of Denominators means GCF of 911,291,414 as per the given fractions.

GCF of 911,291,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,707,259

LCM of Fractions 20/911,707/291,259/414 is 523180

7 20, 707, 259
20, 101, 37

∴ So the LCM of the given numbers is 7 x 20 x 101 x 37 = 523180

Least Common Multiple of 20,707,259 with GCF Formula

Least Common Multiple of 20,707,259 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 20,707,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,707,259) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(20,707,259) x common factors =1 x 7 = 7

LCM(20,707,259) = ( 20 × 707 × 259 ) / 7

LCM(20,707,259) = 3662260 / 7

LCM(20,707,259) = 523180


Lets's calculate GCF of 911,291,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523180/1

Therefore the LCM of Fractions 20/911,707/291,259/414 is 523180

Greatest Common Factor of 911,291,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,291,414 By Matching Biggest Common Factor Method

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

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

Greatest Common Factor

We found the factors 911,291,414 . The biggest common factor number is the GCF number.
So the greatest common factor 911,291,414 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 20/911, 707/291, 259/414

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 20/911, 707/291, 259/414?

Answer: LCM of Numerators as per given numbers 20/911, 707/291, 259/414 is

LCM of Numerators i.e. for 20,707,259 is 523180

GCF of denominators i.e. for 911,291,414 is 1.

Thus, LCM of Fractions is 523180.Finally, LCM of Fractions for 20/911, 707/291, 259/414 is 523180.