Least Common Multiple of 306/28, 749/4831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 306/28, 749/4831 quickly i.e. 229194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 306/28, 749/4831 is 229194.

LCM(306/28, 749/4831) = 229194

LCM of 306/28, 749/4831

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 306/28,749/4831

Given numbers are 306/28,749/4831

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 306,749

Least Common Multiple of Numerators i.e. LCM of 306,749 is 229194.

GCF of Denominators means GCF of 28,4831 as per the given fractions.

GCF of 28,4831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 306,749

LCM of Fractions 306/28,749/4831 is 229194

Given numbers has no common factors except 1. So, there LCM is their product i.e 229194

Least Common Multiple of 306,749 with GCF Formula

Least Common Multiple of 306,749 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 306,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(306,749) = 1

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

GCF(306,749) x common factors =1 x 1 = 1

LCM(306,749) = ( 306 × 749 ) / 1

LCM(306,749) = 229194 / 1

LCM(306,749) = 229194


Lets's calculate GCF of 28,4831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229194/1

Therefore the LCM of Fractions 306/28,749/4831 is 229194

Greatest Common Factor of 28,4831 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,4831 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 4831

List of positive integer factors of 4831 that divides 4831 without a remainder.

1,4831

Greatest Common Factor

We found the factors 28,4831 . The biggest common factor number is the GCF number.
So the greatest common factor 28,4831 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 306/28, 749/4831

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 306/28, 749/4831?

Answer: LCM of Numerators as per given numbers 306/28, 749/4831 is

LCM of Numerators i.e. for 306,749 is 229194

GCF of denominators i.e. for 28,4831 is 1.

Thus, LCM of Fractions is 229194.Finally, LCM of Fractions for 306/28, 749/4831 is 229194.