Given numbers are 960,810,374,609

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

The LCM of 960,810,374,609 is 983949120.

Find LCM of 960,810,374,609 with Prime Factorization

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

2 x 3 x 5 x 32 x 27 x 187 x 203 = 983949120

Therefore, the lowest common multiple of 960,810,374,609 is 983949120.

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.

960 x 810 x 374 x 609 = 177110841600

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

374 : 1, 2, 11, 17, 22, 34, 187, 374

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,810,374,609, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

810:2x 3x 3x 3x 3x 5

374:2x 11x 17

609:3x 7x 29

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 177110841600/(1x180)

LCM = 177110841600/180

LCM = 983949120

Thus, we can understand that the LCM of 960,810,374,609 is 983949120.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 800, 376, 839, 939
• LCM of 194, 279, 379, 699
• LCM of 650, 655, 475, 722
• LCM of 631, 716, 414, 731
• LCM of 519, 961, 222, 989

1. What is the LCM of 960, 810, 374, 609?

Answer: LCM of 960, 810, 374, 609 is 983949120.

2. How to calculate the LCM of 960, 810, 374, 609?

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 960, 810, 374, 609.

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}.