Least Common Multiple of 60/531, 29/644, 496/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/531, 29/644, 496/582 quickly i.e. 215760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/531, 29/644, 496/582 is 215760.

LCM(60/531, 29/644, 496/582) = 215760

LCM of 60/531, 29/644, 496/582

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 60/531,29/644,496/582

Given numbers are 60/531,29/644,496/582

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 60,29,496

Least Common Multiple of Numerators i.e. LCM of 60,29,496 is 215760.

GCF of Denominators means GCF of 531,644,582 as per the given fractions.

GCF of 531,644,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,29,496

LCM of Fractions 60/531,29/644,496/582 is 215760

2 60, 29, 496
2 30, 29, 248
15, 29, 124

∴ So the LCM of the given numbers is 2 x 2 x 15 x 29 x 124 = 215760

Least Common Multiple of 60,29,496 with GCF Formula

Least Common Multiple of 60,29,496 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 60,29,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,29,496) = 1

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

GCF(60,29,496) x common factors =1 x 4 = 4

LCM(60,29,496) = ( 60 × 29 × 496 ) / 4

LCM(60,29,496) = 863040 / 4

LCM(60,29,496) = 215760


Lets's calculate GCF of 531,644,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215760/1

Therefore the LCM of Fractions 60/531,29/644,496/582 is 215760

Greatest Common Factor of 531,644,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,644,582 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 531,644,582 . The biggest common factor number is the GCF number.
So the greatest common factor 531,644,582 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 60/531, 29/644, 496/582

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 60/531, 29/644, 496/582?

Answer: LCM of Numerators as per given numbers 60/531, 29/644, 496/582 is

LCM of Numerators i.e. for 60,29,496 is 215760

GCF of denominators i.e. for 531,644,582 is 1.

Thus, LCM of Fractions is 215760.Finally, LCM of Fractions for 60/531, 29/644, 496/582 is 215760.