Least Common Multiple of 15/65, 86/67, 706/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/65, 86/67, 706/781 quickly i.e. 455370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/65, 86/67, 706/781 is 455370.

LCM(15/65, 86/67, 706/781) = 455370

LCM of 15/65, 86/67, 706/781

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 15/65,86/67,706/781

Given numbers are 15/65,86/67,706/781

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 15,86,706

Least Common Multiple of Numerators i.e. LCM of 15,86,706 is 455370.

GCF of Denominators means GCF of 65,67,781 as per the given fractions.

GCF of 65,67,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,86,706

LCM of Fractions 15/65,86/67,706/781 is 455370

2 15, 86, 706
15, 43, 353

∴ So the LCM of the given numbers is 2 x 15 x 43 x 353 = 455370

Least Common Multiple of 15,86,706 with GCF Formula

Least Common Multiple of 15,86,706 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 15,86,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,86,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(15,86,706) x common factors =1 x 2 = 2

LCM(15,86,706) = ( 15 × 86 × 706 ) / 2

LCM(15,86,706) = 910740 / 2

LCM(15,86,706) = 455370


Lets's calculate GCF of 65,67,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455370/1

Therefore the LCM of Fractions 15/65,86/67,706/781 is 455370

Greatest Common Factor of 65,67,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,67,781 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 65,67,781 . The biggest common factor number is the GCF number.
So the greatest common factor 65,67,781 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 15/65, 86/67, 706/781

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 15/65, 86/67, 706/781?

Answer: LCM of Numerators as per given numbers 15/65, 86/67, 706/781 is

LCM of Numerators i.e. for 15,86,706 is 455370

GCF of denominators i.e. for 65,67,781 is 1.

Thus, LCM of Fractions is 455370.Finally, LCM of Fractions for 15/65, 86/67, 706/781 is 455370.