Least Common Multiple of 507/93, 4593/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/93, 4593/682 quickly i.e. 776217/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/93, 4593/682 is 776217/31.

LCM(507/93, 4593/682) = 776217/31

LCM of 507/93, 4593/682

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 507/93,4593/682

Given numbers are 507/93,4593/682

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 507,4593

Least Common Multiple of Numerators i.e. LCM of 507,4593 is 776217.

GCF of Denominators means GCF of 93,682 as per the given fractions.

GCF of 93,682 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,4593

LCM of Fractions 507/93,4593/682 is 776217/31

3 507, 4593
169, 1531

∴ So the LCM of the given numbers is 3 x 169 x 1531 = 776217

Least Common Multiple of 507,4593 with GCF Formula

Least Common Multiple of 507,4593 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 507,4593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,4593) = 3

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

GCF(507,4593) x common factors =3 x 1 = 3

LCM(507,4593) = ( 507 × 4593 ) / 3

LCM(507,4593) = 2328651 / 3

LCM(507,4593) = 776217


Lets's calculate GCF of 93,682

31 93, 682
3, 22

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 776217/31

Therefore the LCM of Fractions 507/93,4593/682 is 776217/31

Greatest Common Factor of 93,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,682 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 93,682 . The biggest common factor number is the GCF number.
So the greatest common factor 93,682 is 31.


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 507/93, 4593/682

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 507/93, 4593/682?

Answer: LCM of Numerators as per given numbers 507/93, 4593/682 is

LCM of Numerators i.e. for 507,4593 is 776217

GCF of denominators i.e. for 93,682 is 31.

Thus, LCM of Fractions is 776217/31.Finally, LCM of Fractions for 507/93, 4593/682 is 776217/31.