Least Common Multiple of 59/618, 475/679, 864/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/618, 475/679, 864/839 quickly i.e. 24213600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/618, 475/679, 864/839 is 24213600.

LCM(59/618, 475/679, 864/839) = 24213600

LCM of 59/618, 475/679, 864/839

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 59/618,475/679,864/839

Given numbers are 59/618,475/679,864/839

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 59,475,864

Least Common Multiple of Numerators i.e. LCM of 59,475,864 is 24213600.

GCF of Denominators means GCF of 618,679,839 as per the given fractions.

GCF of 618,679,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,475,864

LCM of Fractions 59/618,475/679,864/839 is 24213600

Given numbers has no common factors except 1. So, there LCM is their product i.e 24213600

Least Common Multiple of 59,475,864 with GCF Formula

Least Common Multiple of 59,475,864 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 59,475,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,475,864) = 1

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

GCF(59,475,864) x common factors =1 x 1 = 1

LCM(59,475,864) = ( 59 × 475 × 864 ) / 1

LCM(59,475,864) = 24213600 / 1

LCM(59,475,864) = 24213600


Lets's calculate GCF of 618,679,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24213600/1

Therefore the LCM of Fractions 59/618,475/679,864/839 is 24213600

Greatest Common Factor of 618,679,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,679,839 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 618,679,839 . The biggest common factor number is the GCF number.
So the greatest common factor 618,679,839 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 59/618, 475/679, 864/839

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 59/618, 475/679, 864/839?

Answer: LCM of Numerators as per given numbers 59/618, 475/679, 864/839 is

LCM of Numerators i.e. for 59,475,864 is 24213600

GCF of denominators i.e. for 618,679,839 is 1.

Thus, LCM of Fractions is 24213600.Finally, LCM of Fractions for 59/618, 475/679, 864/839 is 24213600.