Least Common Multiple of 13/964, 18/928, 597/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/964, 18/928, 597/550 quickly i.e. 23283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/964, 18/928, 597/550 is 23283.

LCM(13/964, 18/928, 597/550) = 23283

LCM of 13/964, 18/928, 597/550

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 13/964,18/928,597/550

Given numbers are 13/964,18/928,597/550

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 13,18,597

Least Common Multiple of Numerators i.e. LCM of 13,18,597 is 46566.

GCF of Denominators means GCF of 964,928,550 as per the given fractions.

GCF of 964,928,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,18,597

LCM of Fractions 13/964,18/928,597/550 is 23283

3 13, 18, 597
13, 6, 199

∴ So the LCM of the given numbers is 3 x 13 x 6 x 199 = 46566

Least Common Multiple of 13,18,597 with GCF Formula

Least Common Multiple of 13,18,597 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 13,18,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,18,597) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(13,18,597) x common factors =1 x 3 = 3

LCM(13,18,597) = ( 13 × 18 × 597 ) / 3

LCM(13,18,597) = 139698 / 3

LCM(13,18,597) = 46566


Lets's calculate GCF of 964,928,550

2 964, 928, 550
482, 464, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46566/2

Therefore the LCM of Fractions 13/964,18/928,597/550 is 23283

Greatest Common Factor of 964,928,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,928,550 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 964,928,550 . The biggest common factor number is the GCF number.
So the greatest common factor 964,928,550 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 13/964, 18/928, 597/550

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 13/964, 18/928, 597/550?

Answer: LCM of Numerators as per given numbers 13/964, 18/928, 597/550 is

LCM of Numerators i.e. for 13,18,597 is 46566

GCF of denominators i.e. for 964,928,550 is 2.

Thus, LCM of Fractions is 23283.Finally, LCM of Fractions for 13/964, 18/928, 597/550 is 23283.