Least Common Multiple of 333/170, 8501/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 333/170, 8501/235 quickly i.e. 2830833/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 333/170, 8501/235 is 2830833/5.

LCM(333/170, 8501/235) = 2830833/5

LCM of 333/170, 8501/235

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 333/170,8501/235

Given numbers are 333/170,8501/235

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 333,8501

Least Common Multiple of Numerators i.e. LCM of 333,8501 is 2830833.

GCF of Denominators means GCF of 170,235 as per the given fractions.

GCF of 170,235 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 333,8501

LCM of Fractions 333/170,8501/235 is 2830833/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 2830833

Least Common Multiple of 333,8501 with GCF Formula

Least Common Multiple of 333,8501 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 333,8501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,8501) = 1

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

GCF(333,8501) x common factors =1 x 1 = 1

LCM(333,8501) = ( 333 × 8501 ) / 1

LCM(333,8501) = 2830833 / 1

LCM(333,8501) = 2830833


Lets's calculate GCF of 170,235

5 170, 235
34, 47

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2830833/5

Therefore the LCM of Fractions 333/170,8501/235 is 2830833/5

Greatest Common Factor of 170,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,235 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 170,235 . The biggest common factor number is the GCF number.
So the greatest common factor 170,235 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 333/170, 8501/235

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 333/170, 8501/235?

Answer: LCM of Numerators as per given numbers 333/170, 8501/235 is

LCM of Numerators i.e. for 333,8501 is 2830833

GCF of denominators i.e. for 170,235 is 5.

Thus, LCM of Fractions is 2830833/5.Finally, LCM of Fractions for 333/170, 8501/235 is 2830833/5.