Least Common Multiple of 306/86, 300/3057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/86, 300/3057 quickly i.e. 15300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/86, 300/3057 is 15300.

LCM(306/86, 300/3057) = 15300

LCM of 306/86, 300/3057

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 306/86,300/3057

Given numbers are 306/86,300/3057

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 306,300

Least Common Multiple of Numerators i.e. LCM of 306,300 is 15300.

GCF of Denominators means GCF of 86,3057 as per the given fractions.

GCF of 86,3057 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,300

LCM of Fractions 306/86,300/3057 is 15300

2 306, 300
3 153, 150
51, 50

∴ So the LCM of the given numbers is 2 x 3 x 51 x 50 = 15300

Least Common Multiple of 306,300 with GCF Formula

Least Common Multiple of 306,300 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 306,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,300) = 6

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

GCF(306,300) x common factors =6 x 1 = 6

LCM(306,300) = ( 306 × 300 ) / 6

LCM(306,300) = 91800 / 6

LCM(306,300) = 15300


Lets's calculate GCF of 86,3057

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15300/1

Therefore the LCM of Fractions 306/86,300/3057 is 15300

Greatest Common Factor of 86,3057 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,3057 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 3057

List of positive integer factors of 3057 that divides 3057 without a remainder.

1,3,1019,3057

Greatest Common Factor

We found the factors 86,3057 . The biggest common factor number is the GCF number.
So the greatest common factor 86,3057 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 306/86, 300/3057

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 306/86, 300/3057?

Answer: LCM of Numerators as per given numbers 306/86, 300/3057 is

LCM of Numerators i.e. for 306,300 is 15300

GCF of denominators i.e. for 86,3057 is 1.

Thus, LCM of Fractions is 15300.Finally, LCM of Fractions for 306/86, 300/3057 is 15300.