Least Common Multiple of 289/480, 834/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/480, 834/422 quickly i.e. 120513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/480, 834/422 is 120513.

LCM(289/480, 834/422) = 120513

LCM of 289/480, 834/422

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 289/480,834/422

Given numbers are 289/480,834/422

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 289,834

Least Common Multiple of Numerators i.e. LCM of 289,834 is 241026.

GCF of Denominators means GCF of 480,422 as per the given fractions.

GCF of 480,422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,834

LCM of Fractions 289/480,834/422 is 120513

Given numbers has no common factors except 1. So, there LCM is their product i.e 241026

Least Common Multiple of 289,834 with GCF Formula

Least Common Multiple of 289,834 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 289,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,834) = 1

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

GCF(289,834) x common factors =1 x 1 = 1

LCM(289,834) = ( 289 × 834 ) / 1

LCM(289,834) = 241026 / 1

LCM(289,834) = 241026


Lets's calculate GCF of 480,422

2 480, 422
240, 211

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241026/2

Therefore the LCM of Fractions 289/480,834/422 is 120513

Greatest Common Factor of 480,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,422 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Greatest Common Factor

We found the factors 480,422 . The biggest common factor number is the GCF number.
So the greatest common factor 480,422 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 289/480, 834/422

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 289/480, 834/422?

Answer: LCM of Numerators as per given numbers 289/480, 834/422 is

LCM of Numerators i.e. for 289,834 is 241026

GCF of denominators i.e. for 480,422 is 2.

Thus, LCM of Fractions is 120513.Finally, LCM of Fractions for 289/480, 834/422 is 120513.