Least Common Multiple of 53/523, 96/113, 594/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/523, 96/113, 594/965 quickly i.e. 503712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/523, 96/113, 594/965 is 503712.

LCM(53/523, 96/113, 594/965) = 503712

LCM of 53/523, 96/113, 594/965

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 53/523,96/113,594/965

Given numbers are 53/523,96/113,594/965

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 53,96,594

Least Common Multiple of Numerators i.e. LCM of 53,96,594 is 503712.

GCF of Denominators means GCF of 523,113,965 as per the given fractions.

GCF of 523,113,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,96,594

LCM of Fractions 53/523,96/113,594/965 is 503712

2 53, 96, 594
3 53, 48, 297
53, 16, 99

∴ So the LCM of the given numbers is 2 x 3 x 53 x 16 x 99 = 503712

Least Common Multiple of 53,96,594 with GCF Formula

Least Common Multiple of 53,96,594 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 53,96,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,96,594) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(53,96,594) x common factors =1 x 6 = 6

LCM(53,96,594) = ( 53 × 96 × 594 ) / 6

LCM(53,96,594) = 3022272 / 6

LCM(53,96,594) = 503712


Lets's calculate GCF of 523,113,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503712/1

Therefore the LCM of Fractions 53/523,96/113,594/965 is 503712

Greatest Common Factor of 523,113,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,113,965 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 523,113,965 . The biggest common factor number is the GCF number.
So the greatest common factor 523,113,965 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 53/523, 96/113, 594/965

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 53/523, 96/113, 594/965?

Answer: LCM of Numerators as per given numbers 53/523, 96/113, 594/965 is

LCM of Numerators i.e. for 53,96,594 is 503712

GCF of denominators i.e. for 523,113,965 is 1.

Thus, LCM of Fractions is 503712.Finally, LCM of Fractions for 53/523, 96/113, 594/965 is 503712.