Least Common Multiple of 14/597, 14/717, 565/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/597, 14/717, 565/159 quickly i.e. 7910/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/597, 14/717, 565/159 is 7910/3.

LCM(14/597, 14/717, 565/159) = 7910/3

LCM of 14/597, 14/717, 565/159

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 14/597,14/717,565/159

Given numbers are 14/597,14/717,565/159

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 14,14,565

Least Common Multiple of Numerators i.e. LCM of 14,14,565 is 7910.

GCF of Denominators means GCF of 597,717,159 as per the given fractions.

GCF of 597,717,159 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,14,565

LCM of Fractions 14/597,14/717,565/159 is 7910/3

2 14, 14, 565
7 7, 7, 565
1, 1, 565

∴ So the LCM of the given numbers is 2 x 7 x 1 x 1 x 565 = 7910

Least Common Multiple of 14,14,565 with GCF Formula

Least Common Multiple of 14,14,565 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 14,14,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,14,565) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,14,565) x common factors =1 x 14 = 14

LCM(14,14,565) = ( 14 × 14 × 565 ) / 14

LCM(14,14,565) = 110740 / 14

LCM(14,14,565) = 7910


Lets's calculate GCF of 597,717,159

3 597, 717, 159
199, 239, 53

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7910/3

Therefore the LCM of Fractions 14/597,14/717,565/159 is 7910/3

Greatest Common Factor of 597,717,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,717,159 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 597,717,159 . The biggest common factor number is the GCF number.
So the greatest common factor 597,717,159 is 3.


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 14/597, 14/717, 565/159

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 14/597, 14/717, 565/159?

Answer: LCM of Numerators as per given numbers 14/597, 14/717, 565/159 is

LCM of Numerators i.e. for 14,14,565 is 7910

GCF of denominators i.e. for 597,717,159 is 3.

Thus, LCM of Fractions is 7910/3.Finally, LCM of Fractions for 14/597, 14/717, 565/159 is 7910/3.