Least Common Multiple of 289/600, 386/835, 658/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/600, 386/835, 658/434 quickly i.e. 36701266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/600, 386/835, 658/434 is 36701266.

LCM(289/600, 386/835, 658/434) = 36701266

LCM of 289/600, 386/835, 658/434

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 289/600,386/835,658/434

Given numbers are 289/600,386/835,658/434

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 289,386,658

Least Common Multiple of Numerators i.e. LCM of 289,386,658 is 36701266.

GCF of Denominators means GCF of 600,835,434 as per the given fractions.

GCF of 600,835,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,386,658

LCM of Fractions 289/600,386/835,658/434 is 36701266

2 289, 386, 658
289, 193, 329

∴ So the LCM of the given numbers is 2 x 289 x 193 x 329 = 36701266

Least Common Multiple of 289,386,658 with GCF Formula

Least Common Multiple of 289,386,658 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 289,386,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,386,658) = 1

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

GCF(289,386,658) x common factors =1 x 2 = 2

LCM(289,386,658) = ( 289 × 386 × 658 ) / 2

LCM(289,386,658) = 73402532 / 2

LCM(289,386,658) = 36701266


Lets's calculate GCF of 600,835,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36701266/1

Therefore the LCM of Fractions 289/600,386/835,658/434 is 36701266

Greatest Common Factor of 600,835,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,835,434 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 835

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

1,5,167,835

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 600,835,434 . The biggest common factor number is the GCF number.
So the greatest common factor 600,835,434 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 289/600, 386/835, 658/434

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 289/600, 386/835, 658/434?

Answer: LCM of Numerators as per given numbers 289/600, 386/835, 658/434 is

LCM of Numerators i.e. for 289,386,658 is 36701266

GCF of denominators i.e. for 600,835,434 is 1.

Thus, LCM of Fractions is 36701266.Finally, LCM of Fractions for 289/600, 386/835, 658/434 is 36701266.