Least Common Multiple of 686/40, 287/28, 210/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/40, 287/28, 210/587 quickly i.e. 421890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/40, 287/28, 210/587 is 421890.

LCM(686/40, 287/28, 210/587) = 421890

LCM of 686/40, 287/28, 210/587

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 686/40,287/28,210/587

Given numbers are 686/40,287/28,210/587

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 686,287,210

Least Common Multiple of Numerators i.e. LCM of 686,287,210 is 421890.

GCF of Denominators means GCF of 40,28,587 as per the given fractions.

GCF of 40,28,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,287,210

LCM of Fractions 686/40,287/28,210/587 is 421890

2 686, 287, 210
7 343, 287, 105
49, 41, 15

∴ So the LCM of the given numbers is 2 x 7 x 49 x 41 x 15 = 421890

Least Common Multiple of 686,287,210 with GCF Formula

Least Common Multiple of 686,287,210 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 686,287,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,287,210) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(686,287,210) x common factors =7 x 14 = 98

LCM(686,287,210) = ( 686 × 287 × 210 ) / 98

LCM(686,287,210) = 41345220 / 98

LCM(686,287,210) = 421890


Lets's calculate GCF of 40,28,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421890/1

Therefore the LCM of Fractions 686/40,287/28,210/587 is 421890

Greatest Common Factor of 40,28,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,28,587 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 40,28,587 . The biggest common factor number is the GCF number.
So the greatest common factor 40,28,587 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 686/40, 287/28, 210/587

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 686/40, 287/28, 210/587?

Answer: LCM of Numerators as per given numbers 686/40, 287/28, 210/587 is

LCM of Numerators i.e. for 686,287,210 is 421890

GCF of denominators i.e. for 40,28,587 is 1.

Thus, LCM of Fractions is 421890.Finally, LCM of Fractions for 686/40, 287/28, 210/587 is 421890.