Least Common Multiple of 305/418, 507/620, 537/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/418, 507/620, 537/363 quickly i.e. 27679665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/418, 507/620, 537/363 is 27679665.

LCM(305/418, 507/620, 537/363) = 27679665

LCM of 305/418, 507/620, 537/363

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 305/418,507/620,537/363

Given numbers are 305/418,507/620,537/363

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 305,507,537

Least Common Multiple of Numerators i.e. LCM of 305,507,537 is 27679665.

GCF of Denominators means GCF of 418,620,363 as per the given fractions.

GCF of 418,620,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,507,537

LCM of Fractions 305/418,507/620,537/363 is 27679665

3 305, 507, 537
305, 169, 179

∴ So the LCM of the given numbers is 3 x 305 x 169 x 179 = 27679665

Least Common Multiple of 305,507,537 with GCF Formula

Least Common Multiple of 305,507,537 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 305,507,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,507,537) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(305,507,537) x common factors =1 x 3 = 3

LCM(305,507,537) = ( 305 × 507 × 537 ) / 3

LCM(305,507,537) = 83038995 / 3

LCM(305,507,537) = 27679665


Lets's calculate GCF of 418,620,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27679665/1

Therefore the LCM of Fractions 305/418,507/620,537/363 is 27679665

Greatest Common Factor of 418,620,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,620,363 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 418,620,363 . The biggest common factor number is the GCF number.
So the greatest common factor 418,620,363 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 305/418, 507/620, 537/363

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 305/418, 507/620, 537/363?

Answer: LCM of Numerators as per given numbers 305/418, 507/620, 537/363 is

LCM of Numerators i.e. for 305,507,537 is 27679665

GCF of denominators i.e. for 418,620,363 is 1.

Thus, LCM of Fractions is 27679665.Finally, LCM of Fractions for 305/418, 507/620, 537/363 is 27679665.