Least Common Multiple of 285/97, 171/87, 701/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/97, 171/87, 701/104 quickly i.e. 599355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/97, 171/87, 701/104 is 599355.

LCM(285/97, 171/87, 701/104) = 599355

LCM of 285/97, 171/87, 701/104

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 285/97,171/87,701/104

Given numbers are 285/97,171/87,701/104

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 285,171,701

Least Common Multiple of Numerators i.e. LCM of 285,171,701 is 599355.

GCF of Denominators means GCF of 97,87,104 as per the given fractions.

GCF of 97,87,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,171,701

LCM of Fractions 285/97,171/87,701/104 is 599355

3 285, 171, 701
19 95, 57, 701
5, 3, 701

∴ So the LCM of the given numbers is 3 x 19 x 5 x 3 x 701 = 599355

Least Common Multiple of 285,171,701 with GCF Formula

Least Common Multiple of 285,171,701 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 285,171,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,171,701) = 1

common factors(in case of two or more numbers have common factors) = 57

GCF(285,171,701) x common factors =1 x 57 = 57

LCM(285,171,701) = ( 285 × 171 × 701 ) / 57

LCM(285,171,701) = 34163235 / 57

LCM(285,171,701) = 599355


Lets's calculate GCF of 97,87,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599355/1

Therefore the LCM of Fractions 285/97,171/87,701/104 is 599355

Greatest Common Factor of 97,87,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,87,104 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 97,87,104 . The biggest common factor number is the GCF number.
So the greatest common factor 97,87,104 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 285/97, 171/87, 701/104

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 285/97, 171/87, 701/104?

Answer: LCM of Numerators as per given numbers 285/97, 171/87, 701/104 is

LCM of Numerators i.e. for 285,171,701 is 599355

GCF of denominators i.e. for 97,87,104 is 1.

Thus, LCM of Fractions is 599355.Finally, LCM of Fractions for 285/97, 171/87, 701/104 is 599355.