Least Common Multiple of 89/487, 521/648, 444/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/487, 521/648, 444/822 quickly i.e. 20587836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/487, 521/648, 444/822 is 20587836.

LCM(89/487, 521/648, 444/822) = 20587836

LCM of 89/487, 521/648, 444/822

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 89/487,521/648,444/822

Given numbers are 89/487,521/648,444/822

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 89,521,444

Least Common Multiple of Numerators i.e. LCM of 89,521,444 is 20587836.

GCF of Denominators means GCF of 487,648,822 as per the given fractions.

GCF of 487,648,822 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,521,444

LCM of Fractions 89/487,521/648,444/822 is 20587836

Given numbers has no common factors except 1. So, there LCM is their product i.e 20587836

Least Common Multiple of 89,521,444 with GCF Formula

Least Common Multiple of 89,521,444 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 89,521,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,521,444) = 1

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

GCF(89,521,444) x common factors =1 x 1 = 1

LCM(89,521,444) = ( 89 × 521 × 444 ) / 1

LCM(89,521,444) = 20587836 / 1

LCM(89,521,444) = 20587836


Lets's calculate GCF of 487,648,822

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20587836/1

Therefore the LCM of Fractions 89/487,521/648,444/822 is 20587836

Greatest Common Factor of 487,648,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,648,822 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 487,648,822 . The biggest common factor number is the GCF number.
So the greatest common factor 487,648,822 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 89/487, 521/648, 444/822

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 89/487, 521/648, 444/822?

Answer: LCM of Numerators as per given numbers 89/487, 521/648, 444/822 is

LCM of Numerators i.e. for 89,521,444 is 20587836

GCF of denominators i.e. for 487,648,822 is 1.

Thus, LCM of Fractions is 20587836.Finally, LCM of Fractions for 89/487, 521/648, 444/822 is 20587836.