Least Common Multiple of 65/23, 78/60, 85/91, 32/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/23, 78/60, 85/91, 32/390 quickly i.e. 106080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/23, 78/60, 85/91, 32/390 is 106080.

LCM(65/23, 78/60, 85/91, 32/390) = 106080

LCM of 65/23, 78/60, 85/91, 32/390

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 65/23,78/60,85/91,32/390

Given numbers are 65/23,78/60,85/91,32/390

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 65,78,85,32

Least Common Multiple of Numerators i.e. LCM of 65,78,85,32 is 106080.

GCF of Denominators means GCF of 23,60,91,390 as per the given fractions.

GCF of 23,60,91,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,78,85,32

LCM of Fractions 65/23,78/60,85/91,32/390 is 106080

2 65, 78, 85, 32
5 65, 39, 85, 16
13 13, 39, 17, 16
1, 3, 17, 16

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 3 x 17 x 16 = 106080

Least Common Multiple of 65,78,85,32 with GCF Formula

Least Common Multiple of 65,78,85,32 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 65,78,85,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,78,85,32) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(65,78,85,32) x common factors =1 x 130 = 130

LCM(65,78,85,32) = ( 65 × 78 × 85 × 32 ) / 130

LCM(65,78,85,32) = 13790400 / 130

LCM(65,78,85,32) = 106080


Lets's calculate GCF of 23,60,91,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106080/1

Therefore the LCM of Fractions 65/23,78/60,85/91,32/390 is 106080

Greatest Common Factor of 23,60,91,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,60,91,390 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 23,60,91,390 . The biggest common factor number is the GCF number.
So the greatest common factor 23,60,91,390 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 65/23, 78/60, 85/91, 32/390

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 65/23, 78/60, 85/91, 32/390?

Answer: LCM of Numerators as per given numbers 65/23, 78/60, 85/91, 32/390 is

LCM of Numerators i.e. for 65,78,85,32 is 106080

GCF of denominators i.e. for 23,60,91,390 is 1.

Thus, LCM of Fractions is 106080.Finally, LCM of Fractions for 65/23, 78/60, 85/91, 32/390 is 106080.