Least Common Multiple of 305/86, 275/3090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/86, 275/3090 quickly i.e. 16775/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/86, 275/3090 is 16775/2.

LCM(305/86, 275/3090) = 16775/2

LCM of 305/86, 275/3090

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 305/86,275/3090

Given numbers are 305/86,275/3090

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 305,275

Least Common Multiple of Numerators i.e. LCM of 305,275 is 16775.

GCF of Denominators means GCF of 86,3090 as per the given fractions.

GCF of 86,3090 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,275

LCM of Fractions 305/86,275/3090 is 16775/2

5 305, 275
61, 55

∴ So the LCM of the given numbers is 5 x 61 x 55 = 16775

Least Common Multiple of 305,275 with GCF Formula

Least Common Multiple of 305,275 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 305,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,275) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(305,275) x common factors =5 x 1 = 5

LCM(305,275) = ( 305 × 275 ) / 5

LCM(305,275) = 83875 / 5

LCM(305,275) = 16775


Lets's calculate GCF of 86,3090

2 86, 3090
43, 1545

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16775/2

Therefore the LCM of Fractions 305/86,275/3090 is 16775/2

Greatest Common Factor of 86,3090 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,3090 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 3090

List of positive integer factors of 3090 that divides 3090 without a remainder.

1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090

Greatest Common Factor

We found the factors 86,3090 . The biggest common factor number is the GCF number.
So the greatest common factor 86,3090 is 2.


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 305/86, 275/3090

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 305/86, 275/3090?

Answer: LCM of Numerators as per given numbers 305/86, 275/3090 is

LCM of Numerators i.e. for 305,275 is 16775

GCF of denominators i.e. for 86,3090 is 2.

Thus, LCM of Fractions is 16775/2.Finally, LCM of Fractions for 305/86, 275/3090 is 16775/2.