Least Common Multiple of 68/899, 58/524, 257/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/899, 58/524, 257/835 quickly i.e. 506804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/899, 58/524, 257/835 is 506804.

LCM(68/899, 58/524, 257/835) = 506804

LCM of 68/899, 58/524, 257/835

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 68/899,58/524,257/835

Given numbers are 68/899,58/524,257/835

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 68,58,257

Least Common Multiple of Numerators i.e. LCM of 68,58,257 is 506804.

GCF of Denominators means GCF of 899,524,835 as per the given fractions.

GCF of 899,524,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,58,257

LCM of Fractions 68/899,58/524,257/835 is 506804

2 68, 58, 257
34, 29, 257

∴ So the LCM of the given numbers is 2 x 34 x 29 x 257 = 506804

Least Common Multiple of 68,58,257 with GCF Formula

Least Common Multiple of 68,58,257 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 68,58,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,58,257) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,58,257) x common factors =1 x 2 = 2

LCM(68,58,257) = ( 68 × 58 × 257 ) / 2

LCM(68,58,257) = 1013608 / 2

LCM(68,58,257) = 506804


Lets's calculate GCF of 899,524,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506804/1

Therefore the LCM of Fractions 68/899,58/524,257/835 is 506804

Greatest Common Factor of 899,524,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,524,835 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 899,524,835 . The biggest common factor number is the GCF number.
So the greatest common factor 899,524,835 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 68/899, 58/524, 257/835

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 68/899, 58/524, 257/835?

Answer: LCM of Numerators as per given numbers 68/899, 58/524, 257/835 is

LCM of Numerators i.e. for 68,58,257 is 506804

GCF of denominators i.e. for 899,524,835 is 1.

Thus, LCM of Fractions is 506804.Finally, LCM of Fractions for 68/899, 58/524, 257/835 is 506804.