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LCM of 570, 531, 440, 969

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 570, 531, 440, 969 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 570, 531, 440, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,531,440,969

Given numbers are 570,531,440,969

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 570,531,440,969 is 75465720.

Find LCM of 570,531,440,969 with Prime Factorization


2 570, 531, 440, 969
3 285, 531, 220, 969
5 95, 177, 220, 323
19 19, 177, 44, 323
1, 177, 44, 17

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 19 x 1 x 177 x 44 x 17 = 75465720

Therefore, the lowest common multiple of 570,531,440,969 is 75465720.

LCM Formula to Find Lowest Common Multiple of 570,531,440,969

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

570 x 531 x 440 x 969 = 129046381200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

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

531 : 1, 3, 9, 59, 177, 531

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,531,440,969, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

531:3x 3x 59

440:2x 2x 2x 5x 11

969:3x 17x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 19 = 1710

Therefore, the value for common factors is 1710.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 129046381200/(1x1710)

LCM = 129046381200/1710

LCM = 75465720

Thus, we can understand that the LCM of 570,531,440,969 is 75465720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 531, 440, 969

1. What is the LCM of 570, 531, 440, 969?

Answer: LCM of 570, 531, 440, 969 is 75465720.

2. How to calculate the LCM of 570, 531, 440, 969?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 570, 531, 440, 969.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.