Least Common Multiple of 289/958, 598/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/958, 598/346 quickly i.e. 86411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/958, 598/346 is 86411.

LCM(289/958, 598/346) = 86411

LCM of 289/958, 598/346

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 289/958,598/346

Given numbers are 289/958,598/346

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 289,598

Least Common Multiple of Numerators i.e. LCM of 289,598 is 172822.

GCF of Denominators means GCF of 958,346 as per the given fractions.

GCF of 958,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,598

LCM of Fractions 289/958,598/346 is 86411

Given numbers has no common factors except 1. So, there LCM is their product i.e 172822

Least Common Multiple of 289,598 with GCF Formula

Least Common Multiple of 289,598 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 289,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,598) = 1

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

GCF(289,598) x common factors =1 x 1 = 1

LCM(289,598) = ( 289 × 598 ) / 1

LCM(289,598) = 172822 / 1

LCM(289,598) = 172822


Lets's calculate GCF of 958,346

2 958, 346
479, 173

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172822/2

Therefore the LCM of Fractions 289/958,598/346 is 86411

Greatest Common Factor of 958,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,346 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 958,346 . The biggest common factor number is the GCF number.
So the greatest common factor 958,346 is 2.


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 289/958, 598/346

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 289/958, 598/346?

Answer: LCM of Numerators as per given numbers 289/958, 598/346 is

LCM of Numerators i.e. for 289,598 is 172822

GCF of denominators i.e. for 958,346 is 2.

Thus, LCM of Fractions is 86411.Finally, LCM of Fractions for 289/958, 598/346 is 86411.