Least Common Multiple of 156/517, 427/265, 605/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/517, 427/265, 605/288 quickly i.e. 40300260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/517, 427/265, 605/288 is 40300260.

LCM(156/517, 427/265, 605/288) = 40300260

LCM of 156/517, 427/265, 605/288

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 156/517,427/265,605/288

Given numbers are 156/517,427/265,605/288

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 156,427,605

Least Common Multiple of Numerators i.e. LCM of 156,427,605 is 40300260.

GCF of Denominators means GCF of 517,265,288 as per the given fractions.

GCF of 517,265,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,427,605

LCM of Fractions 156/517,427/265,605/288 is 40300260

Given numbers has no common factors except 1. So, there LCM is their product i.e 40300260

Least Common Multiple of 156,427,605 with GCF Formula

Least Common Multiple of 156,427,605 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 156,427,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,427,605) = 1

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

GCF(156,427,605) x common factors =1 x 1 = 1

LCM(156,427,605) = ( 156 × 427 × 605 ) / 1

LCM(156,427,605) = 40300260 / 1

LCM(156,427,605) = 40300260


Lets's calculate GCF of 517,265,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40300260/1

Therefore the LCM of Fractions 156/517,427/265,605/288 is 40300260

Greatest Common Factor of 517,265,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,265,288 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 517,265,288 . The biggest common factor number is the GCF number.
So the greatest common factor 517,265,288 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 156/517, 427/265, 605/288

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 156/517, 427/265, 605/288?

Answer: LCM of Numerators as per given numbers 156/517, 427/265, 605/288 is

LCM of Numerators i.e. for 156,427,605 is 40300260

GCF of denominators i.e. for 517,265,288 is 1.

Thus, LCM of Fractions is 40300260.Finally, LCM of Fractions for 156/517, 427/265, 605/288 is 40300260.