Least Common Multiple of 681/27, 465/58, 810/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/27, 465/58, 810/340 quickly i.e. 5699970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/27, 465/58, 810/340 is 5699970.

LCM(681/27, 465/58, 810/340) = 5699970

LCM of 681/27, 465/58, 810/340

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 681/27,465/58,810/340

Given numbers are 681/27,465/58,810/340

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 681,465,810

Least Common Multiple of Numerators i.e. LCM of 681,465,810 is 5699970.

GCF of Denominators means GCF of 27,58,340 as per the given fractions.

GCF of 27,58,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,465,810

LCM of Fractions 681/27,465/58,810/340 is 5699970

3 681, 465, 810
5 227, 155, 270
227, 31, 54

∴ So the LCM of the given numbers is 3 x 5 x 227 x 31 x 54 = 5699970

Least Common Multiple of 681,465,810 with GCF Formula

Least Common Multiple of 681,465,810 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 681,465,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,465,810) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(681,465,810) x common factors =3 x 15 = 45

LCM(681,465,810) = ( 681 × 465 × 810 ) / 45

LCM(681,465,810) = 256498650 / 45

LCM(681,465,810) = 5699970


Lets's calculate GCF of 27,58,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5699970/1

Therefore the LCM of Fractions 681/27,465/58,810/340 is 5699970

Greatest Common Factor of 27,58,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,58,340 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 27,58,340 . The biggest common factor number is the GCF number.
So the greatest common factor 27,58,340 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 681/27, 465/58, 810/340

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 681/27, 465/58, 810/340?

Answer: LCM of Numerators as per given numbers 681/27, 465/58, 810/340 is

LCM of Numerators i.e. for 681,465,810 is 5699970

GCF of denominators i.e. for 27,58,340 is 1.

Thus, LCM of Fractions is 5699970.Finally, LCM of Fractions for 681/27, 465/58, 810/340 is 5699970.