Least Common Multiple of 589/722, 992/440, 356/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/722, 992/440, 356/656 quickly i.e. 838736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/722, 992/440, 356/656 is 838736.

LCM(589/722, 992/440, 356/656) = 838736

LCM of 589/722, 992/440, 356/656

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 589/722,992/440,356/656

Given numbers are 589/722,992/440,356/656

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 589,992,356

Least Common Multiple of Numerators i.e. LCM of 589,992,356 is 1677472.

GCF of Denominators means GCF of 722,440,656 as per the given fractions.

GCF of 722,440,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,992,356

LCM of Fractions 589/722,992/440,356/656 is 838736

2 589, 992, 356
2 589, 496, 178
31 589, 248, 89
19, 8, 89

∴ So the LCM of the given numbers is 2 x 2 x 31 x 19 x 8 x 89 = 1677472

Least Common Multiple of 589,992,356 with GCF Formula

Least Common Multiple of 589,992,356 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 589,992,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,992,356) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(589,992,356) x common factors =1 x 124 = 124

LCM(589,992,356) = ( 589 × 992 × 356 ) / 124

LCM(589,992,356) = 208006528 / 124

LCM(589,992,356) = 1677472


Lets's calculate GCF of 722,440,656

2 722, 440, 656
361, 220, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1677472/2

Therefore the LCM of Fractions 589/722,992/440,356/656 is 838736

Greatest Common Factor of 722,440,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,440,656 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 722,440,656 . The biggest common factor number is the GCF number.
So the greatest common factor 722,440,656 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 589/722, 992/440, 356/656

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 589/722, 992/440, 356/656?

Answer: LCM of Numerators as per given numbers 589/722, 992/440, 356/656 is

LCM of Numerators i.e. for 589,992,356 is 1677472

GCF of denominators i.e. for 722,440,656 is 2.

Thus, LCM of Fractions is 838736.Finally, LCM of Fractions for 589/722, 992/440, 356/656 is 838736.