Least Common Multiple of 635/631, 214/585, 381/487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 635/631, 214/585, 381/487 quickly i.e. 407670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 635/631, 214/585, 381/487 is 407670.

LCM(635/631, 214/585, 381/487) = 407670

LCM of 635/631, 214/585, 381/487

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 635/631,214/585,381/487

Given numbers are 635/631,214/585,381/487

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 635,214,381

Least Common Multiple of Numerators i.e. LCM of 635,214,381 is 407670.

GCF of Denominators means GCF of 631,585,487 as per the given fractions.

GCF of 631,585,487 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 635,214,381

LCM of Fractions 635/631,214/585,381/487 is 407670

127 635, 214, 381
5, 214, 3

∴ So the LCM of the given numbers is 127 x 5 x 214 x 3 = 407670

Least Common Multiple of 635,214,381 with GCF Formula

Least Common Multiple of 635,214,381 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 635,214,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,214,381) = 1

common factors(in case of two or more numbers have common factors) = 127

GCF(635,214,381) x common factors =1 x 127 = 127

LCM(635,214,381) = ( 635 × 214 × 381 ) / 127

LCM(635,214,381) = 51774090 / 127

LCM(635,214,381) = 407670


Lets's calculate GCF of 631,585,487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407670/1

Therefore the LCM of Fractions 635/631,214/585,381/487 is 407670

Greatest Common Factor of 631,585,487 By Matching Biggest Common Factor Method

Greatest Common Factor of 631,585,487 By Matching Biggest Common Factor Method

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Greatest Common Factor

We found the factors 631,585,487 . The biggest common factor number is the GCF number.
So the greatest common factor 631,585,487 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 635/631, 214/585, 381/487

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 635/631, 214/585, 381/487?

Answer: LCM of Numerators as per given numbers 635/631, 214/585, 381/487 is

LCM of Numerators i.e. for 635,214,381 is 407670

GCF of denominators i.e. for 631,585,487 is 1.

Thus, LCM of Fractions is 407670.Finally, LCM of Fractions for 635/631, 214/585, 381/487 is 407670.