Least Common Multiple of 584/991, 723/822, 521/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 584/991, 723/822, 521/907 quickly i.e. 219982872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 584/991, 723/822, 521/907 is 219982872.

LCM(584/991, 723/822, 521/907) = 219982872

LCM of 584/991, 723/822, 521/907

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 584/991,723/822,521/907

Given numbers are 584/991,723/822,521/907

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 584,723,521

Least Common Multiple of Numerators i.e. LCM of 584,723,521 is 219982872.

GCF of Denominators means GCF of 991,822,907 as per the given fractions.

GCF of 991,822,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 584,723,521

LCM of Fractions 584/991,723/822,521/907 is 219982872

Given numbers has no common factors except 1. So, there LCM is their product i.e 219982872

Least Common Multiple of 584,723,521 with GCF Formula

Least Common Multiple of 584,723,521 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 584,723,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,723,521) = 1

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

GCF(584,723,521) x common factors =1 x 1 = 1

LCM(584,723,521) = ( 584 × 723 × 521 ) / 1

LCM(584,723,521) = 219982872 / 1

LCM(584,723,521) = 219982872


Lets's calculate GCF of 991,822,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219982872/1

Therefore the LCM of Fractions 584/991,723/822,521/907 is 219982872

Greatest Common Factor of 991,822,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,822,907 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 822

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

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

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 991,822,907 . The biggest common factor number is the GCF number.
So the greatest common factor 991,822,907 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 584/991, 723/822, 521/907

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 584/991, 723/822, 521/907?

Answer: LCM of Numerators as per given numbers 584/991, 723/822, 521/907 is

LCM of Numerators i.e. for 584,723,521 is 219982872

GCF of denominators i.e. for 991,822,907 is 1.

Thus, LCM of Fractions is 219982872.Finally, LCM of Fractions for 584/991, 723/822, 521/907 is 219982872.