Least Common Multiple of 171/307, 187/915, 705/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 171/307, 187/915, 705/360 quickly i.e. 7514595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 171/307, 187/915, 705/360 is 7514595.

LCM(171/307, 187/915, 705/360) = 7514595

LCM of 171/307, 187/915, 705/360

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 171/307,187/915,705/360

Given numbers are 171/307,187/915,705/360

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 171,187,705

Least Common Multiple of Numerators i.e. LCM of 171,187,705 is 7514595.

GCF of Denominators means GCF of 307,915,360 as per the given fractions.

GCF of 307,915,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 171,187,705

LCM of Fractions 171/307,187/915,705/360 is 7514595

3 171, 187, 705
57, 187, 235

∴ So the LCM of the given numbers is 3 x 57 x 187 x 235 = 7514595

Least Common Multiple of 171,187,705 with GCF Formula

Least Common Multiple of 171,187,705 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 171,187,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,187,705) = 1

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

GCF(171,187,705) x common factors =1 x 3 = 3

LCM(171,187,705) = ( 171 × 187 × 705 ) / 3

LCM(171,187,705) = 22543785 / 3

LCM(171,187,705) = 7514595


Lets's calculate GCF of 307,915,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7514595/1

Therefore the LCM of Fractions 171/307,187/915,705/360 is 7514595

Greatest Common Factor of 307,915,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,915,360 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 307,915,360 . The biggest common factor number is the GCF number.
So the greatest common factor 307,915,360 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 171/307, 187/915, 705/360

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 171/307, 187/915, 705/360?

Answer: LCM of Numerators as per given numbers 171/307, 187/915, 705/360 is

LCM of Numerators i.e. for 171,187,705 is 7514595

GCF of denominators i.e. for 307,915,360 is 1.

Thus, LCM of Fractions is 7514595.Finally, LCM of Fractions for 171/307, 187/915, 705/360 is 7514595.