Least Common Multiple of 989/285, 400/264, 636/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/285, 400/264, 636/721 quickly i.e. 62900400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/285, 400/264, 636/721 is 62900400.

LCM(989/285, 400/264, 636/721) = 62900400

LCM of 989/285, 400/264, 636/721

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 989/285,400/264,636/721

Given numbers are 989/285,400/264,636/721

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 989,400,636

Least Common Multiple of Numerators i.e. LCM of 989,400,636 is 62900400.

GCF of Denominators means GCF of 285,264,721 as per the given fractions.

GCF of 285,264,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,400,636

LCM of Fractions 989/285,400/264,636/721 is 62900400

2 989, 400, 636
2 989, 200, 318
989, 100, 159

∴ So the LCM of the given numbers is 2 x 2 x 989 x 100 x 159 = 62900400

Least Common Multiple of 989,400,636 with GCF Formula

Least Common Multiple of 989,400,636 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 989,400,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,400,636) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(989,400,636) x common factors =1 x 4 = 4

LCM(989,400,636) = ( 989 × 400 × 636 ) / 4

LCM(989,400,636) = 251601600 / 4

LCM(989,400,636) = 62900400


Lets's calculate GCF of 285,264,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62900400/1

Therefore the LCM of Fractions 989/285,400/264,636/721 is 62900400

Greatest Common Factor of 285,264,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,264,721 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

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

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 285,264,721 . The biggest common factor number is the GCF number.
So the greatest common factor 285,264,721 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 989/285, 400/264, 636/721

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 989/285, 400/264, 636/721?

Answer: LCM of Numerators as per given numbers 989/285, 400/264, 636/721 is

LCM of Numerators i.e. for 989,400,636 is 62900400

GCF of denominators i.e. for 285,264,721 is 1.

Thus, LCM of Fractions is 62900400.Finally, LCM of Fractions for 989/285, 400/264, 636/721 is 62900400.