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LCM of 792, 767, 594, 964

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


Find the LCM of 792, 767, 594, 964 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 792, 767, 594, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,767,594,964

Given numbers are 792,767,594,964

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

The LCM of 792,767,594,964 is 439196472.

Find LCM of 792,767,594,964 with Prime Factorization


2 792, 767, 594, 964
2 396, 767, 297, 482
3 198, 767, 297, 241
3 66, 767, 99, 241
11 22, 767, 33, 241
2, 767, 3, 241

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

2 x 2 x 3 x 3 x 11 x 2 x 767 x 3 x 241 = 439196472

Therefore, the lowest common multiple of 792,767,594,964 is 439196472.

LCM Formula to Find Lowest Common Multiple of 792,767,594,964

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.

792 x 767 x 594 x 964 = 347843605824

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

767 : 1, 13, 59, 767

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,767,594,964, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

767:13x 59

594:2x 3x 3x 3x 11

964:2x 2x 241

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

2x 2x 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 347843605824/(1x792)

LCM = 347843605824/792

LCM = 439196472

Thus, we can understand that the LCM of 792,767,594,964 is 439196472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 767, 594, 964

1. What is the LCM of 792, 767, 594, 964?

Answer: LCM of 792, 767, 594, 964 is 439196472.

2. How to calculate the LCM of 792, 767, 594, 964?

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 792, 767, 594, 964.

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}.