Least Common Multiple of 6769/466, 4948/3030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6769/466, 4948/3030 quickly i.e. 16746506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6769/466, 4948/3030 is 16746506.

LCM(6769/466, 4948/3030) = 16746506

LCM of 6769/466, 4948/3030

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 6769/466,4948/3030

Given numbers are 6769/466,4948/3030

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 6769,4948

Least Common Multiple of Numerators i.e. LCM of 6769,4948 is 33493012.

GCF of Denominators means GCF of 466,3030 as per the given fractions.

GCF of 466,3030 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6769,4948

LCM of Fractions 6769/466,4948/3030 is 16746506

Given numbers has no common factors except 1. So, there LCM is their product i.e 33493012

Least Common Multiple of 6769,4948 with GCF Formula

Least Common Multiple of 6769,4948 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 6769,4948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6769,4948) = 1

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

GCF(6769,4948) x common factors =1 x 1 = 1

LCM(6769,4948) = ( 6769 × 4948 ) / 1

LCM(6769,4948) = 33493012 / 1

LCM(6769,4948) = 33493012


Lets's calculate GCF of 466,3030

2 466, 3030
233, 1515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33493012/2

Therefore the LCM of Fractions 6769/466,4948/3030 is 16746506

Greatest Common Factor of 466,3030 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,3030 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030

Greatest Common Factor

We found the factors 466,3030 . The biggest common factor number is the GCF number.
So the greatest common factor 466,3030 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 6769/466, 4948/3030

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 6769/466, 4948/3030?

Answer: LCM of Numerators as per given numbers 6769/466, 4948/3030 is

LCM of Numerators i.e. for 6769,4948 is 33493012

GCF of denominators i.e. for 466,3030 is 2.

Thus, LCM of Fractions is 16746506.Finally, LCM of Fractions for 6769/466, 4948/3030 is 16746506.