Least Common Multiple of 206/46, 648/7613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/46, 648/7613 quickly i.e. 66744/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/46, 648/7613 is 66744/23.

LCM(206/46, 648/7613) = 66744/23

LCM of 206/46, 648/7613

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 206/46,648/7613

Given numbers are 206/46,648/7613

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 206,648

Least Common Multiple of Numerators i.e. LCM of 206,648 is 66744.

GCF of Denominators means GCF of 46,7613 as per the given fractions.

GCF of 46,7613 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,648

LCM of Fractions 206/46,648/7613 is 66744/23

2 206, 648
103, 324

∴ So the LCM of the given numbers is 2 x 103 x 324 = 66744

Least Common Multiple of 206,648 with GCF Formula

Least Common Multiple of 206,648 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 206,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,648) = 2

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

GCF(206,648) x common factors =2 x 1 = 2

LCM(206,648) = ( 206 × 648 ) / 2

LCM(206,648) = 133488 / 2

LCM(206,648) = 66744


Lets's calculate GCF of 46,7613

23 46, 7613
2, 331

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66744/23

Therefore the LCM of Fractions 206/46,648/7613 is 66744/23

Greatest Common Factor of 46,7613 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,7613 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 7613

List of positive integer factors of 7613 that divides 7613 without a remainder.

1,23,331,7613

Greatest Common Factor

We found the factors 46,7613 . The biggest common factor number is the GCF number.
So the greatest common factor 46,7613 is 23.


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 206/46, 648/7613

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 206/46, 648/7613?

Answer: LCM of Numerators as per given numbers 206/46, 648/7613 is

LCM of Numerators i.e. for 206,648 is 66744

GCF of denominators i.e. for 46,7613 is 23.

Thus, LCM of Fractions is 66744/23.Finally, LCM of Fractions for 206/46, 648/7613 is 66744/23.