Least Common Multiple of 989/571, 894/800, 447/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/571, 894/800, 447/390 quickly i.e. 884166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/571, 894/800, 447/390 is 884166.

LCM(989/571, 894/800, 447/390) = 884166

LCM of 989/571, 894/800, 447/390

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 989/571,894/800,447/390

Given numbers are 989/571,894/800,447/390

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 989,894,447

Least Common Multiple of Numerators i.e. LCM of 989,894,447 is 884166.

GCF of Denominators means GCF of 571,800,390 as per the given fractions.

GCF of 571,800,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,894,447

LCM of Fractions 989/571,894/800,447/390 is 884166

3 989, 894, 447
149 989, 298, 149
989, 2, 1

∴ So the LCM of the given numbers is 3 x 149 x 989 x 2 x 1 = 884166

Least Common Multiple of 989,894,447 with GCF Formula

Least Common Multiple of 989,894,447 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 989,894,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,894,447) = 1

common factors(in case of two or more numbers have common factors) = 447

GCF(989,894,447) x common factors =1 x 447 = 447

LCM(989,894,447) = ( 989 × 894 × 447 ) / 447

LCM(989,894,447) = 395222202 / 447

LCM(989,894,447) = 884166


Lets's calculate GCF of 571,800,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 884166/1

Therefore the LCM of Fractions 989/571,894/800,447/390 is 884166

Greatest Common Factor of 571,800,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 571,800,390 By Matching Biggest Common Factor Method

Factors of 571

List of positive integer factors of 571 that divides 571 without a remainder.

1,571

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 571,800,390 . The biggest common factor number is the GCF number.
So the greatest common factor 571,800,390 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 989/571, 894/800, 447/390

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 989/571, 894/800, 447/390?

Answer: LCM of Numerators as per given numbers 989/571, 894/800, 447/390 is

LCM of Numerators i.e. for 989,894,447 is 884166

GCF of denominators i.e. for 571,800,390 is 1.

Thus, LCM of Fractions is 884166.Finally, LCM of Fractions for 989/571, 894/800, 447/390 is 884166.