Least Common Multiple of 1455/663, 9711/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1455/663, 9711/494 quickly i.e. 362295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1455/663, 9711/494 is 362295.

LCM(1455/663, 9711/494) = 362295

LCM of 1455/663, 9711/494

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 1455/663,9711/494

Given numbers are 1455/663,9711/494

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 1455,9711

Least Common Multiple of Numerators i.e. LCM of 1455,9711 is 4709835.

GCF of Denominators means GCF of 663,494 as per the given fractions.

GCF of 663,494 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1455,9711

LCM of Fractions 1455/663,9711/494 is 362295

3 1455, 9711
485, 3237

∴ So the LCM of the given numbers is 3 x 485 x 3237 = 4709835

Least Common Multiple of 1455,9711 with GCF Formula

Least Common Multiple of 1455,9711 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 1455,9711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1455,9711) = 3

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

GCF(1455,9711) x common factors =3 x 1 = 3

LCM(1455,9711) = ( 1455 × 9711 ) / 3

LCM(1455,9711) = 14129505 / 3

LCM(1455,9711) = 4709835


Lets's calculate GCF of 663,494

13 663, 494
51, 38

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4709835/13

Therefore the LCM of Fractions 1455/663,9711/494 is 362295

Greatest Common Factor of 663,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,494 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 663,494 . The biggest common factor number is the GCF number.
So the greatest common factor 663,494 is 13.


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 1455/663, 9711/494

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 1455/663, 9711/494?

Answer: LCM of Numerators as per given numbers 1455/663, 9711/494 is

LCM of Numerators i.e. for 1455,9711 is 4709835

GCF of denominators i.e. for 663,494 is 13.

Thus, LCM of Fractions is 362295.Finally, LCM of Fractions for 1455/663, 9711/494 is 362295.