Least Common Multiple of 64/45, 69/720, 482/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/45, 69/720, 482/570 quickly i.e. 1064256/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/45, 69/720, 482/570 is 1064256/15.

LCM(64/45, 69/720, 482/570) = 1064256/15

LCM of 64/45, 69/720, 482/570

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 64/45,69/720,482/570

Given numbers are 64/45,69/720,482/570

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 64,69,482

Least Common Multiple of Numerators i.e. LCM of 64,69,482 is 1064256.

GCF of Denominators means GCF of 45,720,570 as per the given fractions.

GCF of 45,720,570 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,69,482

LCM of Fractions 64/45,69/720,482/570 is 1064256/15

2 64, 69, 482
32, 69, 241

∴ So the LCM of the given numbers is 2 x 32 x 69 x 241 = 1064256

Least Common Multiple of 64,69,482 with GCF Formula

Least Common Multiple of 64,69,482 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 64,69,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,69,482) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,69,482) x common factors =1 x 2 = 2

LCM(64,69,482) = ( 64 × 69 × 482 ) / 2

LCM(64,69,482) = 2128512 / 2

LCM(64,69,482) = 1064256


Lets's calculate GCF of 45,720,570

3 45, 720, 570
5 15, 240, 190
3, 48, 38

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1064256/15

Therefore the LCM of Fractions 64/45,69/720,482/570 is 1064256/15

Greatest Common Factor of 45,720,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,720,570 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 45,720,570 . The biggest common factor number is the GCF number.
So the greatest common factor 45,720,570 is 15.


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 64/45, 69/720, 482/570

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 64/45, 69/720, 482/570?

Answer: LCM of Numerators as per given numbers 64/45, 69/720, 482/570 is

LCM of Numerators i.e. for 64,69,482 is 1064256

GCF of denominators i.e. for 45,720,570 is 15.

Thus, LCM of Fractions is 1064256/15.Finally, LCM of Fractions for 64/45, 69/720, 482/570 is 1064256/15.