Least Common Multiple of 496/46, 746/4515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/46, 746/4515 quickly i.e. 185008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/46, 746/4515 is 185008.

LCM(496/46, 746/4515) = 185008

LCM of 496/46, 746/4515

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 496/46,746/4515

Given numbers are 496/46,746/4515

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 496,746

Least Common Multiple of Numerators i.e. LCM of 496,746 is 185008.

GCF of Denominators means GCF of 46,4515 as per the given fractions.

GCF of 46,4515 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,746

LCM of Fractions 496/46,746/4515 is 185008

2 496, 746
248, 373

∴ So the LCM of the given numbers is 2 x 248 x 373 = 185008

Least Common Multiple of 496,746 with GCF Formula

Least Common Multiple of 496,746 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 496,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,746) = 2

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

GCF(496,746) x common factors =2 x 1 = 2

LCM(496,746) = ( 496 × 746 ) / 2

LCM(496,746) = 370016 / 2

LCM(496,746) = 185008


Lets's calculate GCF of 46,4515

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185008/1

Therefore the LCM of Fractions 496/46,746/4515 is 185008

Greatest Common Factor of 46,4515 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,4515 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 4515

List of positive integer factors of 4515 that divides 4515 without a remainder.

1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515

Greatest Common Factor

We found the factors 46,4515 . The biggest common factor number is the GCF number.
So the greatest common factor 46,4515 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 496/46, 746/4515

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 496/46, 746/4515?

Answer: LCM of Numerators as per given numbers 496/46, 746/4515 is

LCM of Numerators i.e. for 496,746 is 185008

GCF of denominators i.e. for 46,4515 is 1.

Thus, LCM of Fractions is 185008.Finally, LCM of Fractions for 496/46, 746/4515 is 185008.