Least Common Multiple of 46/463, 8175/4897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/463, 8175/4897 quickly i.e. 376050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/463, 8175/4897 is 376050.

LCM(46/463, 8175/4897) = 376050

LCM of 46/463, 8175/4897

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 46/463,8175/4897

Given numbers are 46/463,8175/4897

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 46,8175

Least Common Multiple of Numerators i.e. LCM of 46,8175 is 376050.

GCF of Denominators means GCF of 463,4897 as per the given fractions.

GCF of 463,4897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,8175

LCM of Fractions 46/463,8175/4897 is 376050

Given numbers has no common factors except 1. So, there LCM is their product i.e 376050

Least Common Multiple of 46,8175 with GCF Formula

Least Common Multiple of 46,8175 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 46,8175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,8175) = 1

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

GCF(46,8175) x common factors =1 x 1 = 1

LCM(46,8175) = ( 46 × 8175 ) / 1

LCM(46,8175) = 376050 / 1

LCM(46,8175) = 376050


Lets's calculate GCF of 463,4897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376050/1

Therefore the LCM of Fractions 46/463,8175/4897 is 376050

Greatest Common Factor of 463,4897 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,4897 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 4897

List of positive integer factors of 4897 that divides 4897 without a remainder.

1,59,83,4897

Greatest Common Factor

We found the factors 463,4897 . The biggest common factor number is the GCF number.
So the greatest common factor 463,4897 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/463, 8175/4897

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 46/463, 8175/4897?

Answer: LCM of Numerators as per given numbers 46/463, 8175/4897 is

LCM of Numerators i.e. for 46,8175 is 376050

GCF of denominators i.e. for 463,4897 is 1.

Thus, LCM of Fractions is 376050.Finally, LCM of Fractions for 46/463, 8175/4897 is 376050.