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LCM of 964, 470, 481, 566

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


Find the LCM of 964, 470, 481, 566 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 964, 470, 481, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,470,481,566

Given numbers are 964,470,481,566

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

The LCM of 964,470,481,566 is 30837304420.

Find LCM of 964,470,481,566 with Prime Factorization


2 964, 470, 481, 566
482, 235, 481, 283

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

2 x 482 x 235 x 481 x 283 = 30837304420

Therefore, the lowest common multiple of 964,470,481,566 is 30837304420.

LCM Formula to Find Lowest Common Multiple of 964,470,481,566

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.

964 x 470 x 481 x 566 = 123349217680

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.

964 : 1, 2, 4, 241, 482, 964

470 : 1, 2, 5, 10, 47, 94, 235, 470

481 : 1, 13, 37, 481

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,470,481,566, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

470:2x 5x 47

481:13x 37

566:2x 283

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 123349217680/(1x4)

LCM = 123349217680/4

LCM = 30837304420

Thus, we can understand that the LCM of 964,470,481,566 is 30837304420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 470, 481, 566

1. What is the LCM of 964, 470, 481, 566?

Answer: LCM of 964, 470, 481, 566 is 30837304420.

2. How to calculate the LCM of 964, 470, 481, 566?

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 964, 470, 481, 566.

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}.