Least Common Multiple of 497/11, 813/89, 746/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 497/11, 813/89, 746/816 quickly i.e. 301429506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/11, 813/89, 746/816 is 301429506.

LCM(497/11, 813/89, 746/816) = 301429506

LCM of 497/11, 813/89, 746/816

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 497/11,813/89,746/816

Given numbers are 497/11,813/89,746/816

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 497,813,746

Least Common Multiple of Numerators i.e. LCM of 497,813,746 is 301429506.

GCF of Denominators means GCF of 11,89,816 as per the given fractions.

GCF of 11,89,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,813,746

LCM of Fractions 497/11,813/89,746/816 is 301429506

Given numbers has no common factors except 1. So, there LCM is their product i.e 301429506

Least Common Multiple of 497,813,746 with GCF Formula

Least Common Multiple of 497,813,746 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 497,813,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,813,746) = 1

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

GCF(497,813,746) x common factors =1 x 1 = 1

LCM(497,813,746) = ( 497 × 813 × 746 ) / 1

LCM(497,813,746) = 301429506 / 1

LCM(497,813,746) = 301429506


Lets's calculate GCF of 11,89,816

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301429506/1

Therefore the LCM of Fractions 497/11,813/89,746/816 is 301429506

Greatest Common Factor of 11,89,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,89,816 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 11,89,816 . The biggest common factor number is the GCF number.
So the greatest common factor 11,89,816 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 497/11, 813/89, 746/816

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 497/11, 813/89, 746/816?

Answer: LCM of Numerators as per given numbers 497/11, 813/89, 746/816 is

LCM of Numerators i.e. for 497,813,746 is 301429506

GCF of denominators i.e. for 11,89,816 is 1.

Thus, LCM of Fractions is 301429506.Finally, LCM of Fractions for 497/11, 813/89, 746/816 is 301429506.