Least Common Multiple of 74/81, 15/784, 499/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/81, 15/784, 499/264 quickly i.e. 553890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/81, 15/784, 499/264 is 553890.

LCM(74/81, 15/784, 499/264) = 553890

LCM of 74/81, 15/784, 499/264

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 74/81,15/784,499/264

Given numbers are 74/81,15/784,499/264

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 74,15,499

Least Common Multiple of Numerators i.e. LCM of 74,15,499 is 553890.

GCF of Denominators means GCF of 81,784,264 as per the given fractions.

GCF of 81,784,264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,15,499

LCM of Fractions 74/81,15/784,499/264 is 553890

Given numbers has no common factors except 1. So, there LCM is their product i.e 553890

Least Common Multiple of 74,15,499 with GCF Formula

Least Common Multiple of 74,15,499 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 74,15,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,15,499) = 1

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

GCF(74,15,499) x common factors =1 x 1 = 1

LCM(74,15,499) = ( 74 × 15 × 499 ) / 1

LCM(74,15,499) = 553890 / 1

LCM(74,15,499) = 553890


Lets's calculate GCF of 81,784,264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 553890/1

Therefore the LCM of Fractions 74/81,15/784,499/264 is 553890

Greatest Common Factor of 81,784,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,784,264 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 81,784,264 . The biggest common factor number is the GCF number.
So the greatest common factor 81,784,264 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 74/81, 15/784, 499/264

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 74/81, 15/784, 499/264?

Answer: LCM of Numerators as per given numbers 74/81, 15/784, 499/264 is

LCM of Numerators i.e. for 74,15,499 is 553890

GCF of denominators i.e. for 81,784,264 is 1.

Thus, LCM of Fractions is 553890.Finally, LCM of Fractions for 74/81, 15/784, 499/264 is 553890.