Least Common Multiple of 27/168, 99/250, 785/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/168, 99/250, 785/687 quickly i.e. 233145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/168, 99/250, 785/687 is 233145.

LCM(27/168, 99/250, 785/687) = 233145

LCM of 27/168, 99/250, 785/687

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 27/168,99/250,785/687

Given numbers are 27/168,99/250,785/687

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 27,99,785

Least Common Multiple of Numerators i.e. LCM of 27,99,785 is 233145.

GCF of Denominators means GCF of 168,250,687 as per the given fractions.

GCF of 168,250,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,99,785

LCM of Fractions 27/168,99/250,785/687 is 233145

3 27, 99, 785
3 9, 33, 785
3, 11, 785

∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 785 = 233145

Least Common Multiple of 27,99,785 with GCF Formula

Least Common Multiple of 27,99,785 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 27,99,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,99,785) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(27,99,785) x common factors =1 x 9 = 9

LCM(27,99,785) = ( 27 × 99 × 785 ) / 9

LCM(27,99,785) = 2098305 / 9

LCM(27,99,785) = 233145


Lets's calculate GCF of 168,250,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233145/1

Therefore the LCM of Fractions 27/168,99/250,785/687 is 233145

Greatest Common Factor of 168,250,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,250,687 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 168,250,687 . The biggest common factor number is the GCF number.
So the greatest common factor 168,250,687 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 27/168, 99/250, 785/687

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 27/168, 99/250, 785/687?

Answer: LCM of Numerators as per given numbers 27/168, 99/250, 785/687 is

LCM of Numerators i.e. for 27,99,785 is 233145

GCF of denominators i.e. for 168,250,687 is 1.

Thus, LCM of Fractions is 233145.Finally, LCM of Fractions for 27/168, 99/250, 785/687 is 233145.