Least Common Multiple of 6/585, 86/175, 75/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/585, 86/175, 75/380 quickly i.e. 1290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/585, 86/175, 75/380 is 1290.

LCM(6/585, 86/175, 75/380) = 1290

LCM of 6/585, 86/175, 75/380

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 6/585,86/175,75/380

Given numbers are 6/585,86/175,75/380

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 6,86,75

Least Common Multiple of Numerators i.e. LCM of 6,86,75 is 6450.

GCF of Denominators means GCF of 585,175,380 as per the given fractions.

GCF of 585,175,380 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,86,75

LCM of Fractions 6/585,86/175,75/380 is 1290

2 6, 86, 75
3 3, 43, 75
1, 43, 25

∴ So the LCM of the given numbers is 2 x 3 x 1 x 43 x 25 = 6450

Least Common Multiple of 6,86,75 with GCF Formula

Least Common Multiple of 6,86,75 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 6,86,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,86,75) = 1

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

GCF(6,86,75) x common factors =1 x 6 = 6

LCM(6,86,75) = ( 6 × 86 × 75 ) / 6

LCM(6,86,75) = 38700 / 6

LCM(6,86,75) = 6450


Lets's calculate GCF of 585,175,380

5 585, 175, 380
117, 35, 76

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6450/5

Therefore the LCM of Fractions 6/585,86/175,75/380 is 1290

Greatest Common Factor of 585,175,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,175,380 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 585,175,380 . The biggest common factor number is the GCF number.
So the greatest common factor 585,175,380 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 6/585, 86/175, 75/380

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 6/585, 86/175, 75/380?

Answer: LCM of Numerators as per given numbers 6/585, 86/175, 75/380 is

LCM of Numerators i.e. for 6,86,75 is 6450

GCF of denominators i.e. for 585,175,380 is 5.

Thus, LCM of Fractions is 1290.Finally, LCM of Fractions for 6/585, 86/175, 75/380 is 1290.