Least Common Multiple of 20/385, 216/757, 383/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/385, 216/757, 383/418 quickly i.e. 413640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/385, 216/757, 383/418 is 413640.

LCM(20/385, 216/757, 383/418) = 413640

LCM of 20/385, 216/757, 383/418

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 20/385,216/757,383/418

Given numbers are 20/385,216/757,383/418

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 20,216,383

Least Common Multiple of Numerators i.e. LCM of 20,216,383 is 413640.

GCF of Denominators means GCF of 385,757,418 as per the given fractions.

GCF of 385,757,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,216,383

LCM of Fractions 20/385,216/757,383/418 is 413640

2 20, 216, 383
2 10, 108, 383
5, 54, 383

∴ So the LCM of the given numbers is 2 x 2 x 5 x 54 x 383 = 413640

Least Common Multiple of 20,216,383 with GCF Formula

Least Common Multiple of 20,216,383 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 20,216,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,216,383) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,216,383) x common factors =1 x 4 = 4

LCM(20,216,383) = ( 20 × 216 × 383 ) / 4

LCM(20,216,383) = 1654560 / 4

LCM(20,216,383) = 413640


Lets's calculate GCF of 385,757,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413640/1

Therefore the LCM of Fractions 20/385,216/757,383/418 is 413640

Greatest Common Factor of 385,757,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,757,418 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 385,757,418 . The biggest common factor number is the GCF number.
So the greatest common factor 385,757,418 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 20/385, 216/757, 383/418

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 20/385, 216/757, 383/418?

Answer: LCM of Numerators as per given numbers 20/385, 216/757, 383/418 is

LCM of Numerators i.e. for 20,216,383 is 413640

GCF of denominators i.e. for 385,757,418 is 1.

Thus, LCM of Fractions is 413640.Finally, LCM of Fractions for 20/385, 216/757, 383/418 is 413640.