Least Common Multiple of 465/646, 8037/4798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/646, 8037/4798 quickly i.e. 1245735/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/646, 8037/4798 is 1245735/2.

LCM(465/646, 8037/4798) = 1245735/2

LCM of 465/646, 8037/4798

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 465/646,8037/4798

Given numbers are 465/646,8037/4798

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 465,8037

Least Common Multiple of Numerators i.e. LCM of 465,8037 is 1245735.

GCF of Denominators means GCF of 646,4798 as per the given fractions.

GCF of 646,4798 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,8037

LCM of Fractions 465/646,8037/4798 is 1245735/2

3 465, 8037
155, 2679

∴ So the LCM of the given numbers is 3 x 155 x 2679 = 1245735

Least Common Multiple of 465,8037 with GCF Formula

Least Common Multiple of 465,8037 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 465,8037 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,8037) = 3

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

GCF(465,8037) x common factors =3 x 1 = 3

LCM(465,8037) = ( 465 × 8037 ) / 3

LCM(465,8037) = 3737205 / 3

LCM(465,8037) = 1245735


Lets's calculate GCF of 646,4798

2 646, 4798
323, 2399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1245735/2

Therefore the LCM of Fractions 465/646,8037/4798 is 1245735/2

Greatest Common Factor of 646,4798 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,4798 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 4798

List of positive integer factors of 4798 that divides 4798 without a remainder.

1,2,2399,4798

Greatest Common Factor

We found the factors 646,4798 . The biggest common factor number is the GCF number.
So the greatest common factor 646,4798 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 465/646, 8037/4798

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 465/646, 8037/4798?

Answer: LCM of Numerators as per given numbers 465/646, 8037/4798 is

LCM of Numerators i.e. for 465,8037 is 1245735

GCF of denominators i.e. for 646,4798 is 2.

Thus, LCM of Fractions is 1245735/2.Finally, LCM of Fractions for 465/646, 8037/4798 is 1245735/2.