Least Common Multiple of 17/677, 39/232, 794/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/677, 39/232, 794/565 quickly i.e. 526422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/677, 39/232, 794/565 is 526422.

LCM(17/677, 39/232, 794/565) = 526422

LCM of 17/677, 39/232, 794/565

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 17/677,39/232,794/565

Given numbers are 17/677,39/232,794/565

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 17,39,794

Least Common Multiple of Numerators i.e. LCM of 17,39,794 is 526422.

GCF of Denominators means GCF of 677,232,565 as per the given fractions.

GCF of 677,232,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,39,794

LCM of Fractions 17/677,39/232,794/565 is 526422

Given numbers has no common factors except 1. So, there LCM is their product i.e 526422

Least Common Multiple of 17,39,794 with GCF Formula

Least Common Multiple of 17,39,794 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 17,39,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,39,794) = 1

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

GCF(17,39,794) x common factors =1 x 1 = 1

LCM(17,39,794) = ( 17 × 39 × 794 ) / 1

LCM(17,39,794) = 526422 / 1

LCM(17,39,794) = 526422


Lets's calculate GCF of 677,232,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526422/1

Therefore the LCM of Fractions 17/677,39/232,794/565 is 526422

Greatest Common Factor of 677,232,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,232,565 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 677,232,565 . The biggest common factor number is the GCF number.
So the greatest common factor 677,232,565 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 17/677, 39/232, 794/565

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 17/677, 39/232, 794/565?

Answer: LCM of Numerators as per given numbers 17/677, 39/232, 794/565 is

LCM of Numerators i.e. for 17,39,794 is 526422

GCF of denominators i.e. for 677,232,565 is 1.

Thus, LCM of Fractions is 526422.Finally, LCM of Fractions for 17/677, 39/232, 794/565 is 526422.