Least Common Multiple of 535/57, 855/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/57, 855/717 quickly i.e. 30495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/57, 855/717 is 30495.

LCM(535/57, 855/717) = 30495

LCM of 535/57, 855/717

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 535/57,855/717

Given numbers are 535/57,855/717

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 535,855

Least Common Multiple of Numerators i.e. LCM of 535,855 is 91485.

GCF of Denominators means GCF of 57,717 as per the given fractions.

GCF of 57,717 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,855

LCM of Fractions 535/57,855/717 is 30495

5 535, 855
107, 171

∴ So the LCM of the given numbers is 5 x 107 x 171 = 91485

Least Common Multiple of 535,855 with GCF Formula

Least Common Multiple of 535,855 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 535,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,855) = 5

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

GCF(535,855) x common factors =5 x 1 = 5

LCM(535,855) = ( 535 × 855 ) / 5

LCM(535,855) = 457425 / 5

LCM(535,855) = 91485


Lets's calculate GCF of 57,717

3 57, 717
19, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91485/3

Therefore the LCM of Fractions 535/57,855/717 is 30495

Greatest Common Factor of 57,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,717 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 57,717 . The biggest common factor number is the GCF number.
So the greatest common factor 57,717 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 535/57, 855/717

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 535/57, 855/717?

Answer: LCM of Numerators as per given numbers 535/57, 855/717 is

LCM of Numerators i.e. for 535,855 is 91485

GCF of denominators i.e. for 57,717 is 3.

Thus, LCM of Fractions is 30495.Finally, LCM of Fractions for 535/57, 855/717 is 30495.