Least Common Multiple of 62/506, 18/717, 589/957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/506, 18/717, 589/957 quickly i.e. 10602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/506, 18/717, 589/957 is 10602.

LCM(62/506, 18/717, 589/957) = 10602

LCM of 62/506, 18/717, 589/957

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 62/506,18/717,589/957

Given numbers are 62/506,18/717,589/957

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 62,18,589

Least Common Multiple of Numerators i.e. LCM of 62,18,589 is 10602.

GCF of Denominators means GCF of 506,717,957 as per the given fractions.

GCF of 506,717,957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,18,589

LCM of Fractions 62/506,18/717,589/957 is 10602

2 62, 18, 589
31 31, 9, 589
1, 9, 19

∴ So the LCM of the given numbers is 2 x 31 x 1 x 9 x 19 = 10602

Least Common Multiple of 62,18,589 with GCF Formula

Least Common Multiple of 62,18,589 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 62,18,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,18,589) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(62,18,589) x common factors =1 x 62 = 62

LCM(62,18,589) = ( 62 × 18 × 589 ) / 62

LCM(62,18,589) = 657324 / 62

LCM(62,18,589) = 10602


Lets's calculate GCF of 506,717,957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10602/1

Therefore the LCM of Fractions 62/506,18/717,589/957 is 10602

Greatest Common Factor of 506,717,957 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,717,957 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Greatest Common Factor

We found the factors 506,717,957 . The biggest common factor number is the GCF number.
So the greatest common factor 506,717,957 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 62/506, 18/717, 589/957

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 62/506, 18/717, 589/957?

Answer: LCM of Numerators as per given numbers 62/506, 18/717, 589/957 is

LCM of Numerators i.e. for 62,18,589 is 10602

GCF of denominators i.e. for 506,717,957 is 1.

Thus, LCM of Fractions is 10602.Finally, LCM of Fractions for 62/506, 18/717, 589/957 is 10602.