Least Common Multiple of 306/18, 976/4631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/18, 976/4631 quickly i.e. 149328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/18, 976/4631 is 149328.

LCM(306/18, 976/4631) = 149328

LCM of 306/18, 976/4631

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 306/18,976/4631

Given numbers are 306/18,976/4631

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 306,976

Least Common Multiple of Numerators i.e. LCM of 306,976 is 149328.

GCF of Denominators means GCF of 18,4631 as per the given fractions.

GCF of 18,4631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,976

LCM of Fractions 306/18,976/4631 is 149328

2 306, 976
153, 488

∴ So the LCM of the given numbers is 2 x 153 x 488 = 149328

Least Common Multiple of 306,976 with GCF Formula

Least Common Multiple of 306,976 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 306,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,976) = 2

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

GCF(306,976) x common factors =2 x 1 = 2

LCM(306,976) = ( 306 × 976 ) / 2

LCM(306,976) = 298656 / 2

LCM(306,976) = 149328


Lets's calculate GCF of 18,4631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149328/1

Therefore the LCM of Fractions 306/18,976/4631 is 149328

Greatest Common Factor of 18,4631 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,4631 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 4631

List of positive integer factors of 4631 that divides 4631 without a remainder.

1,11,421,4631

Greatest Common Factor

We found the factors 18,4631 . The biggest common factor number is the GCF number.
So the greatest common factor 18,4631 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 306/18, 976/4631

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 306/18, 976/4631?

Answer: LCM of Numerators as per given numbers 306/18, 976/4631 is

LCM of Numerators i.e. for 306,976 is 149328

GCF of denominators i.e. for 18,4631 is 1.

Thus, LCM of Fractions is 149328.Finally, LCM of Fractions for 306/18, 976/4631 is 149328.