Least Common Multiple of 7263/649, 1398/1746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7263/649, 1398/1746 quickly i.e. 3384558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7263/649, 1398/1746 is 3384558.

LCM(7263/649, 1398/1746) = 3384558

LCM of 7263/649, 1398/1746

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 7263/649,1398/1746

Given numbers are 7263/649,1398/1746

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 7263,1398

Least Common Multiple of Numerators i.e. LCM of 7263,1398 is 3384558.

GCF of Denominators means GCF of 649,1746 as per the given fractions.

GCF of 649,1746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7263,1398

LCM of Fractions 7263/649,1398/1746 is 3384558

3 7263, 1398
2421, 466

∴ So the LCM of the given numbers is 3 x 2421 x 466 = 3384558

Least Common Multiple of 7263,1398 with GCF Formula

Least Common Multiple of 7263,1398 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 7263,1398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7263,1398) = 3

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

GCF(7263,1398) x common factors =3 x 1 = 3

LCM(7263,1398) = ( 7263 × 1398 ) / 3

LCM(7263,1398) = 10153674 / 3

LCM(7263,1398) = 3384558


Lets's calculate GCF of 649,1746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3384558/1

Therefore the LCM of Fractions 7263/649,1398/1746 is 3384558

Greatest Common Factor of 649,1746 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,1746 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 1746

List of positive integer factors of 1746 that divides 1746 without a remainder.

1,2,3,6,9,18,97,194,291,582,873,1746

Greatest Common Factor

We found the factors 649,1746 . The biggest common factor number is the GCF number.
So the greatest common factor 649,1746 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 7263/649, 1398/1746

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 7263/649, 1398/1746?

Answer: LCM of Numerators as per given numbers 7263/649, 1398/1746 is

LCM of Numerators i.e. for 7263,1398 is 3384558

GCF of denominators i.e. for 649,1746 is 1.

Thus, LCM of Fractions is 3384558.Finally, LCM of Fractions for 7263/649, 1398/1746 is 3384558.