Least Common Multiple of 86/65, 24/39, 65/14, 150/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/65, 24/39, 65/14, 150/10 quickly i.e. 335400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/65, 24/39, 65/14, 150/10 is 335400.

LCM(86/65, 24/39, 65/14, 150/10) = 335400

LCM of 86/65, 24/39, 65/14, 150/10

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 86/65,24/39,65/14,150/10

Given numbers are 86/65,24/39,65/14,150/10

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 86,24,65,150

Least Common Multiple of Numerators i.e. LCM of 86,24,65,150 is 335400.

GCF of Denominators means GCF of 65,39,14,10 as per the given fractions.

GCF of 65,39,14,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,24,65,150

LCM of Fractions 86/65,24/39,65/14,150/10 is 335400

2 86, 24, 65, 150
3 43, 12, 65, 75
5 43, 4, 65, 25
43, 4, 13, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 4 x 13 x 5 = 335400

Least Common Multiple of 86,24,65,150 with GCF Formula

Least Common Multiple of 86,24,65,150 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 86,24,65,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,24,65,150) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(86,24,65,150) x common factors =1 x 60 = 60

LCM(86,24,65,150) = ( 86 × 24 × 65 × 150 ) / 60

LCM(86,24,65,150) = 20124000 / 60

LCM(86,24,65,150) = 335400


Lets's calculate GCF of 65,39,14,10

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335400/1

Therefore the LCM of Fractions 86/65,24/39,65/14,150/10 is 335400

Greatest Common Factor of 65,39,14,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,39,14,10 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 65,39,14,10 . The biggest common factor number is the GCF number.
So the greatest common factor 65,39,14,10 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 86/65, 24/39, 65/14, 150/10

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 86/65, 24/39, 65/14, 150/10?

Answer: LCM of Numerators as per given numbers 86/65, 24/39, 65/14, 150/10 is

LCM of Numerators i.e. for 86,24,65,150 is 335400

GCF of denominators i.e. for 65,39,14,10 is 1.

Thus, LCM of Fractions is 335400.Finally, LCM of Fractions for 86/65, 24/39, 65/14, 150/10 is 335400.