Least Common Multiple of 17/789, 565/424, 425/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/789, 565/424, 425/460 quickly i.e. 48025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/789, 565/424, 425/460 is 48025.

LCM(17/789, 565/424, 425/460) = 48025

LCM of 17/789, 565/424, 425/460

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 17/789,565/424,425/460

Given numbers are 17/789,565/424,425/460

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 17,565,425

Least Common Multiple of Numerators i.e. LCM of 17,565,425 is 48025.

GCF of Denominators means GCF of 789,424,460 as per the given fractions.

GCF of 789,424,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,565,425

LCM of Fractions 17/789,565/424,425/460 is 48025

5 17, 565, 425
17 17, 113, 85
1, 113, 5

∴ So the LCM of the given numbers is 5 x 17 x 1 x 113 x 5 = 48025

Least Common Multiple of 17,565,425 with GCF Formula

Least Common Multiple of 17,565,425 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 17,565,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,565,425) = 1

common factors(in case of two or more numbers have common factors) = 85

GCF(17,565,425) x common factors =1 x 85 = 85

LCM(17,565,425) = ( 17 × 565 × 425 ) / 85

LCM(17,565,425) = 4082125 / 85

LCM(17,565,425) = 48025


Lets's calculate GCF of 789,424,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48025/1

Therefore the LCM of Fractions 17/789,565/424,425/460 is 48025

Greatest Common Factor of 789,424,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,424,460 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 789,424,460 . The biggest common factor number is the GCF number.
So the greatest common factor 789,424,460 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 17/789, 565/424, 425/460

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 17/789, 565/424, 425/460?

Answer: LCM of Numerators as per given numbers 17/789, 565/424, 425/460 is

LCM of Numerators i.e. for 17,565,425 is 48025

GCF of denominators i.e. for 789,424,460 is 1.

Thus, LCM of Fractions is 48025.Finally, LCM of Fractions for 17/789, 565/424, 425/460 is 48025.