Least Common Multiple of 305/36, 610/85, 509/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/36, 610/85, 509/595 quickly i.e. 310490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/36, 610/85, 509/595 is 310490.

LCM(305/36, 610/85, 509/595) = 310490

LCM of 305/36, 610/85, 509/595

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 305/36,610/85,509/595

Given numbers are 305/36,610/85,509/595

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 305,610,509

Least Common Multiple of Numerators i.e. LCM of 305,610,509 is 310490.

GCF of Denominators means GCF of 36,85,595 as per the given fractions.

GCF of 36,85,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,610,509

LCM of Fractions 305/36,610/85,509/595 is 310490

5 305, 610, 509
61 61, 122, 509
1, 2, 509

∴ So the LCM of the given numbers is 5 x 61 x 1 x 2 x 509 = 310490

Least Common Multiple of 305,610,509 with GCF Formula

Least Common Multiple of 305,610,509 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 305,610,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,610,509) = 1

common factors(in case of two or more numbers have common factors) = 305

GCF(305,610,509) x common factors =1 x 305 = 305

LCM(305,610,509) = ( 305 × 610 × 509 ) / 305

LCM(305,610,509) = 94699450 / 305

LCM(305,610,509) = 310490


Lets's calculate GCF of 36,85,595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310490/1

Therefore the LCM of Fractions 305/36,610/85,509/595 is 310490

Greatest Common Factor of 36,85,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,85,595 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 36,85,595 . The biggest common factor number is the GCF number.
So the greatest common factor 36,85,595 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 305/36, 610/85, 509/595

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 305/36, 610/85, 509/595?

Answer: LCM of Numerators as per given numbers 305/36, 610/85, 509/595 is

LCM of Numerators i.e. for 305,610,509 is 310490

GCF of denominators i.e. for 36,85,595 is 1.

Thus, LCM of Fractions is 310490.Finally, LCM of Fractions for 305/36, 610/85, 509/595 is 310490.