Least Common Multiple of 90/736, 144/326, 499/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/736, 144/326, 499/819 quickly i.e. 359280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/736, 144/326, 499/819 is 359280.

LCM(90/736, 144/326, 499/819) = 359280

LCM of 90/736, 144/326, 499/819

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 90/736,144/326,499/819

Given numbers are 90/736,144/326,499/819

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 90,144,499

Least Common Multiple of Numerators i.e. LCM of 90,144,499 is 359280.

GCF of Denominators means GCF of 736,326,819 as per the given fractions.

GCF of 736,326,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,144,499

LCM of Fractions 90/736,144/326,499/819 is 359280

2 90, 144, 499
3 45, 72, 499
3 15, 24, 499
5, 8, 499

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 8 x 499 = 359280

Least Common Multiple of 90,144,499 with GCF Formula

Least Common Multiple of 90,144,499 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 90,144,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,144,499) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(90,144,499) x common factors =1 x 18 = 18

LCM(90,144,499) = ( 90 × 144 × 499 ) / 18

LCM(90,144,499) = 6467040 / 18

LCM(90,144,499) = 359280


Lets's calculate GCF of 736,326,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359280/1

Therefore the LCM of Fractions 90/736,144/326,499/819 is 359280

Greatest Common Factor of 736,326,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,326,819 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 736,326,819 . The biggest common factor number is the GCF number.
So the greatest common factor 736,326,819 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 90/736, 144/326, 499/819

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 90/736, 144/326, 499/819?

Answer: LCM of Numerators as per given numbers 90/736, 144/326, 499/819 is

LCM of Numerators i.e. for 90,144,499 is 359280

GCF of denominators i.e. for 736,326,819 is 1.

Thus, LCM of Fractions is 359280.Finally, LCM of Fractions for 90/736, 144/326, 499/819 is 359280.