Least Common Multiple of 463/48, 746/6346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/48, 746/6346 quickly i.e. 172699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/48, 746/6346 is 172699.

LCM(463/48, 746/6346) = 172699

LCM of 463/48, 746/6346

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 463/48,746/6346

Given numbers are 463/48,746/6346

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 463,746

Least Common Multiple of Numerators i.e. LCM of 463,746 is 345398.

GCF of Denominators means GCF of 48,6346 as per the given fractions.

GCF of 48,6346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,746

LCM of Fractions 463/48,746/6346 is 172699

Given numbers has no common factors except 1. So, there LCM is their product i.e 345398

Least Common Multiple of 463,746 with GCF Formula

Least Common Multiple of 463,746 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 463,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,746) = 1

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

GCF(463,746) x common factors =1 x 1 = 1

LCM(463,746) = ( 463 × 746 ) / 1

LCM(463,746) = 345398 / 1

LCM(463,746) = 345398


Lets's calculate GCF of 48,6346

2 48, 6346
24, 3173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345398/2

Therefore the LCM of Fractions 463/48,746/6346 is 172699

Greatest Common Factor of 48,6346 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,6346 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 6346

List of positive integer factors of 6346 that divides 6346 without a remainder.

1,2,19,38,167,334,3173,6346

Greatest Common Factor

We found the factors 48,6346 . The biggest common factor number is the GCF number.
So the greatest common factor 48,6346 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 463/48, 746/6346

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 463/48, 746/6346?

Answer: LCM of Numerators as per given numbers 463/48, 746/6346 is

LCM of Numerators i.e. for 463,746 is 345398

GCF of denominators i.e. for 48,6346 is 2.

Thus, LCM of Fractions is 172699.Finally, LCM of Fractions for 463/48, 746/6346 is 172699.