Least Common Multiple of 73/494, 81/600, 651/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/494, 81/600, 651/894 quickly i.e. 1283121/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/494, 81/600, 651/894 is 1283121/2.

LCM(73/494, 81/600, 651/894) = 1283121/2

LCM of 73/494, 81/600, 651/894

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 73/494,81/600,651/894

Given numbers are 73/494,81/600,651/894

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 73,81,651

Least Common Multiple of Numerators i.e. LCM of 73,81,651 is 1283121.

GCF of Denominators means GCF of 494,600,894 as per the given fractions.

GCF of 494,600,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,81,651

LCM of Fractions 73/494,81/600,651/894 is 1283121/2

3 73, 81, 651
73, 27, 217

∴ So the LCM of the given numbers is 3 x 73 x 27 x 217 = 1283121

Least Common Multiple of 73,81,651 with GCF Formula

Least Common Multiple of 73,81,651 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 73,81,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,81,651) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(73,81,651) x common factors =1 x 3 = 3

LCM(73,81,651) = ( 73 × 81 × 651 ) / 3

LCM(73,81,651) = 3849363 / 3

LCM(73,81,651) = 1283121


Lets's calculate GCF of 494,600,894

2 494, 600, 894
247, 300, 447

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1283121/2

Therefore the LCM of Fractions 73/494,81/600,651/894 is 1283121/2

Greatest Common Factor of 494,600,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,600,894 By Matching Biggest Common Factor Method

Factors of 494

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

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

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 494,600,894 . The biggest common factor number is the GCF number.
So the greatest common factor 494,600,894 is 2.


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 73/494, 81/600, 651/894

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 73/494, 81/600, 651/894?

Answer: LCM of Numerators as per given numbers 73/494, 81/600, 651/894 is

LCM of Numerators i.e. for 73,81,651 is 1283121

GCF of denominators i.e. for 494,600,894 is 2.

Thus, LCM of Fractions is 1283121/2.Finally, LCM of Fractions for 73/494, 81/600, 651/894 is 1283121/2.