Least Common Multiple of 565/15, 333/33, 857/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 565/15, 333/33, 857/741 quickly i.e. 53746755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/15, 333/33, 857/741 is 53746755.

LCM(565/15, 333/33, 857/741) = 53746755

LCM of 565/15, 333/33, 857/741

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 565/15,333/33,857/741

Given numbers are 565/15,333/33,857/741

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 565,333,857

Least Common Multiple of Numerators i.e. LCM of 565,333,857 is 161240265.

GCF of Denominators means GCF of 15,33,741 as per the given fractions.

GCF of 15,33,741 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,333,857

LCM of Fractions 565/15,333/33,857/741 is 53746755

Given numbers has no common factors except 1. So, there LCM is their product i.e 161240265

Least Common Multiple of 565,333,857 with GCF Formula

Least Common Multiple of 565,333,857 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 565,333,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,333,857) = 1

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

GCF(565,333,857) x common factors =1 x 1 = 1

LCM(565,333,857) = ( 565 × 333 × 857 ) / 1

LCM(565,333,857) = 161240265 / 1

LCM(565,333,857) = 161240265


Lets's calculate GCF of 15,33,741

3 15, 33, 741
5, 11, 247

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161240265/3

Therefore the LCM of Fractions 565/15,333/33,857/741 is 53746755

Greatest Common Factor of 15,33,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,33,741 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 15,33,741 . The biggest common factor number is the GCF number.
So the greatest common factor 15,33,741 is 3.


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 565/15, 333/33, 857/741

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 565/15, 333/33, 857/741?

Answer: LCM of Numerators as per given numbers 565/15, 333/33, 857/741 is

LCM of Numerators i.e. for 565,333,857 is 161240265

GCF of denominators i.e. for 15,33,741 is 3.

Thus, LCM of Fractions is 53746755.Finally, LCM of Fractions for 565/15, 333/33, 857/741 is 53746755.