Least Common Multiple of 45/235, 27/817, 247/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/235, 27/817, 247/857 quickly i.e. 33345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/235, 27/817, 247/857 is 33345.

LCM(45/235, 27/817, 247/857) = 33345

LCM of 45/235, 27/817, 247/857

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 45/235,27/817,247/857

Given numbers are 45/235,27/817,247/857

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 45,27,247

Least Common Multiple of Numerators i.e. LCM of 45,27,247 is 33345.

GCF of Denominators means GCF of 235,817,857 as per the given fractions.

GCF of 235,817,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,27,247

LCM of Fractions 45/235,27/817,247/857 is 33345

3 45, 27, 247
3 15, 9, 247
5, 3, 247

∴ So the LCM of the given numbers is 3 x 3 x 5 x 3 x 247 = 33345

Least Common Multiple of 45,27,247 with GCF Formula

Least Common Multiple of 45,27,247 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 45,27,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,27,247) = 1

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

GCF(45,27,247) x common factors =1 x 9 = 9

LCM(45,27,247) = ( 45 × 27 × 247 ) / 9

LCM(45,27,247) = 300105 / 9

LCM(45,27,247) = 33345


Lets's calculate GCF of 235,817,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33345/1

Therefore the LCM of Fractions 45/235,27/817,247/857 is 33345

Greatest Common Factor of 235,817,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,817,857 By Matching Biggest Common Factor Method

Factors of 235

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

1,5,47,235

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 235,817,857 . The biggest common factor number is the GCF number.
So the greatest common factor 235,817,857 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 45/235, 27/817, 247/857

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 45/235, 27/817, 247/857?

Answer: LCM of Numerators as per given numbers 45/235, 27/817, 247/857 is

LCM of Numerators i.e. for 45,27,247 is 33345

GCF of denominators i.e. for 235,817,857 is 1.

Thus, LCM of Fractions is 33345.Finally, LCM of Fractions for 45/235, 27/817, 247/857 is 33345.