Least Common Multiple of 306/585, 9012/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/585, 9012/757 quickly i.e. 459612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/585, 9012/757 is 459612.

LCM(306/585, 9012/757) = 459612

LCM of 306/585, 9012/757

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 306/585,9012/757

Given numbers are 306/585,9012/757

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 306,9012

Least Common Multiple of Numerators i.e. LCM of 306,9012 is 459612.

GCF of Denominators means GCF of 585,757 as per the given fractions.

GCF of 585,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,9012

LCM of Fractions 306/585,9012/757 is 459612

2 306, 9012
3 153, 4506
51, 1502

∴ So the LCM of the given numbers is 2 x 3 x 51 x 1502 = 459612

Least Common Multiple of 306,9012 with GCF Formula

Least Common Multiple of 306,9012 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 306,9012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,9012) = 6

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

GCF(306,9012) x common factors =6 x 1 = 6

LCM(306,9012) = ( 306 × 9012 ) / 6

LCM(306,9012) = 2757672 / 6

LCM(306,9012) = 459612


Lets's calculate GCF of 585,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459612/1

Therefore the LCM of Fractions 306/585,9012/757 is 459612

Greatest Common Factor of 585,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,757 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 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 585,757 . The biggest common factor number is the GCF number.
So the greatest common factor 585,757 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 306/585, 9012/757

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 306/585, 9012/757?

Answer: LCM of Numerators as per given numbers 306/585, 9012/757 is

LCM of Numerators i.e. for 306,9012 is 459612

GCF of denominators i.e. for 585,757 is 1.

Thus, LCM of Fractions is 459612.Finally, LCM of Fractions for 306/585, 9012/757 is 459612.