Least Common Multiple of 99/855, 165/237, 685/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/855, 165/237, 685/256 quickly i.e. 67815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/855, 165/237, 685/256 is 67815.

LCM(99/855, 165/237, 685/256) = 67815

LCM of 99/855, 165/237, 685/256

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 99/855,165/237,685/256

Given numbers are 99/855,165/237,685/256

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 99,165,685

Least Common Multiple of Numerators i.e. LCM of 99,165,685 is 67815.

GCF of Denominators means GCF of 855,237,256 as per the given fractions.

GCF of 855,237,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,165,685

LCM of Fractions 99/855,165/237,685/256 is 67815

3 99, 165, 685
5 33, 55, 685
11 33, 11, 137
3, 1, 137

∴ So the LCM of the given numbers is 3 x 5 x 11 x 3 x 1 x 137 = 67815

Least Common Multiple of 99,165,685 with GCF Formula

Least Common Multiple of 99,165,685 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 99,165,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,165,685) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(99,165,685) x common factors =1 x 165 = 165

LCM(99,165,685) = ( 99 × 165 × 685 ) / 165

LCM(99,165,685) = 11189475 / 165

LCM(99,165,685) = 67815


Lets's calculate GCF of 855,237,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67815/1

Therefore the LCM of Fractions 99/855,165/237,685/256 is 67815

Greatest Common Factor of 855,237,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,237,256 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 855,237,256 . The biggest common factor number is the GCF number.
So the greatest common factor 855,237,256 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 99/855, 165/237, 685/256

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 99/855, 165/237, 685/256?

Answer: LCM of Numerators as per given numbers 99/855, 165/237, 685/256 is

LCM of Numerators i.e. for 99,165,685 is 67815

GCF of denominators i.e. for 855,237,256 is 1.

Thus, LCM of Fractions is 67815.Finally, LCM of Fractions for 99/855, 165/237, 685/256 is 67815.