Least Common Multiple of 96/565, 90/781, 753/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/565, 90/781, 753/569 quickly i.e. 361440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/565, 90/781, 753/569 is 361440.

LCM(96/565, 90/781, 753/569) = 361440

LCM of 96/565, 90/781, 753/569

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 96/565,90/781,753/569

Given numbers are 96/565,90/781,753/569

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 96,90,753

Least Common Multiple of Numerators i.e. LCM of 96,90,753 is 361440.

GCF of Denominators means GCF of 565,781,569 as per the given fractions.

GCF of 565,781,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,90,753

LCM of Fractions 96/565,90/781,753/569 is 361440

2 96, 90, 753
3 48, 45, 753
16, 15, 251

∴ So the LCM of the given numbers is 2 x 3 x 16 x 15 x 251 = 361440

Least Common Multiple of 96,90,753 with GCF Formula

Least Common Multiple of 96,90,753 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 96,90,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,90,753) = 3

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

GCF(96,90,753) x common factors =3 x 6 = 18

LCM(96,90,753) = ( 96 × 90 × 753 ) / 18

LCM(96,90,753) = 6505920 / 18

LCM(96,90,753) = 361440


Lets's calculate GCF of 565,781,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361440/1

Therefore the LCM of Fractions 96/565,90/781,753/569 is 361440

Greatest Common Factor of 565,781,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,781,569 By Matching Biggest Common Factor Method

Factors of 565

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

1,5,113,565

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 565,781,569 . The biggest common factor number is the GCF number.
So the greatest common factor 565,781,569 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 96/565, 90/781, 753/569

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 96/565, 90/781, 753/569?

Answer: LCM of Numerators as per given numbers 96/565, 90/781, 753/569 is

LCM of Numerators i.e. for 96,90,753 is 361440

GCF of denominators i.e. for 565,781,569 is 1.

Thus, LCM of Fractions is 361440.Finally, LCM of Fractions for 96/565, 90/781, 753/569 is 361440.