Least Common Multiple of 93/85, 46/55, 68/75, 75/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/85, 46/55, 68/75, 75/390 quickly i.e. 727260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/85, 46/55, 68/75, 75/390 is 727260.

LCM(93/85, 46/55, 68/75, 75/390) = 727260

LCM of 93/85, 46/55, 68/75, 75/390

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 93/85,46/55,68/75,75/390

Given numbers are 93/85,46/55,68/75,75/390

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 93,46,68,75

Least Common Multiple of Numerators i.e. LCM of 93,46,68,75 is 3636300.

GCF of Denominators means GCF of 85,55,75,390 as per the given fractions.

GCF of 85,55,75,390 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,46,68,75

LCM of Fractions 93/85,46/55,68/75,75/390 is 727260

2 93, 46, 68, 75
3 93, 23, 34, 75
31, 23, 34, 25

∴ So the LCM of the given numbers is 2 x 3 x 31 x 23 x 34 x 25 = 3636300

Least Common Multiple of 93,46,68,75 with GCF Formula

Least Common Multiple of 93,46,68,75 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 93,46,68,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,46,68,75) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(93,46,68,75) x common factors =1 x 6 = 6

LCM(93,46,68,75) = ( 93 × 46 × 68 × 75 ) / 6

LCM(93,46,68,75) = 21817800 / 6

LCM(93,46,68,75) = 3636300


Lets's calculate GCF of 85,55,75,390

5 85, 55, 75, 390
17, 11, 15, 78

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3636300/5

Therefore the LCM of Fractions 93/85,46/55,68/75,75/390 is 727260

Greatest Common Factor of 85,55,75,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,55,75,390 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 85,55,75,390 . The biggest common factor number is the GCF number.
So the greatest common factor 85,55,75,390 is 5.


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 93/85, 46/55, 68/75, 75/390

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 93/85, 46/55, 68/75, 75/390?

Answer: LCM of Numerators as per given numbers 93/85, 46/55, 68/75, 75/390 is

LCM of Numerators i.e. for 93,46,68,75 is 3636300

GCF of denominators i.e. for 85,55,75,390 is 5.

Thus, LCM of Fractions is 727260.Finally, LCM of Fractions for 93/85, 46/55, 68/75, 75/390 is 727260.