Least Common Multiple of 821/64, 360/31, 593/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/64, 360/31, 593/562 quickly i.e. 175267080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/64, 360/31, 593/562 is 175267080.

LCM(821/64, 360/31, 593/562) = 175267080

LCM of 821/64, 360/31, 593/562

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 821/64,360/31,593/562

Given numbers are 821/64,360/31,593/562

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 821,360,593

Least Common Multiple of Numerators i.e. LCM of 821,360,593 is 175267080.

GCF of Denominators means GCF of 64,31,562 as per the given fractions.

GCF of 64,31,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,360,593

LCM of Fractions 821/64,360/31,593/562 is 175267080

Given numbers has no common factors except 1. So, there LCM is their product i.e 175267080

Least Common Multiple of 821,360,593 with GCF Formula

Least Common Multiple of 821,360,593 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 821,360,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,360,593) = 1

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

GCF(821,360,593) x common factors =1 x 1 = 1

LCM(821,360,593) = ( 821 × 360 × 593 ) / 1

LCM(821,360,593) = 175267080 / 1

LCM(821,360,593) = 175267080


Lets's calculate GCF of 64,31,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175267080/1

Therefore the LCM of Fractions 821/64,360/31,593/562 is 175267080

Greatest Common Factor of 64,31,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,31,562 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 64,31,562 . The biggest common factor number is the GCF number.
So the greatest common factor 64,31,562 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 821/64, 360/31, 593/562

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 821/64, 360/31, 593/562?

Answer: LCM of Numerators as per given numbers 821/64, 360/31, 593/562 is

LCM of Numerators i.e. for 821,360,593 is 175267080

GCF of denominators i.e. for 64,31,562 is 1.

Thus, LCM of Fractions is 175267080.Finally, LCM of Fractions for 821/64, 360/31, 593/562 is 175267080.