Least Common Multiple of 130/465, 305/533, 361/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 130/465, 305/533, 361/116 quickly i.e. 2862730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 130/465, 305/533, 361/116 is 2862730.

LCM(130/465, 305/533, 361/116) = 2862730

LCM of 130/465, 305/533, 361/116

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 130/465,305/533,361/116

Given numbers are 130/465,305/533,361/116

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 130,305,361

Least Common Multiple of Numerators i.e. LCM of 130,305,361 is 2862730.

GCF of Denominators means GCF of 465,533,116 as per the given fractions.

GCF of 465,533,116 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 130,305,361

LCM of Fractions 130/465,305/533,361/116 is 2862730

5 130, 305, 361
26, 61, 361

∴ So the LCM of the given numbers is 5 x 26 x 61 x 361 = 2862730

Least Common Multiple of 130,305,361 with GCF Formula

Least Common Multiple of 130,305,361 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 130,305,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,305,361) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(130,305,361) x common factors =1 x 5 = 5

LCM(130,305,361) = ( 130 × 305 × 361 ) / 5

LCM(130,305,361) = 14313650 / 5

LCM(130,305,361) = 2862730


Lets's calculate GCF of 465,533,116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2862730/1

Therefore the LCM of Fractions 130/465,305/533,361/116 is 2862730

Greatest Common Factor of 465,533,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,533,116 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 465,533,116 . The biggest common factor number is the GCF number.
So the greatest common factor 465,533,116 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 130/465, 305/533, 361/116

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 130/465, 305/533, 361/116?

Answer: LCM of Numerators as per given numbers 130/465, 305/533, 361/116 is

LCM of Numerators i.e. for 130,305,361 is 2862730

GCF of denominators i.e. for 465,533,116 is 1.

Thus, LCM of Fractions is 2862730.Finally, LCM of Fractions for 130/465, 305/533, 361/116 is 2862730.