Given numbers are 960,430,817,692

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

The LCM of 960,430,817,692 is 135687360.

Find LCM of 960,430,817,692 with Prime Factorization

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

2 x 2 x 5 x 43 x 48 x 1 x 19 x 173 = 135687360

Therefore, the lowest common multiple of 960,430,817,692 is 135687360.

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 430 x 817 x 692 = 233382259200

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

430 : 1, 2, 5, 10, 43, 86, 215, 430

817 : 1, 19, 43, 817

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,430,817,692, is 1.

Now, the common factors can be found like this.

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

430:2x 5x 43

817:19x 43

692:2x 2x 173

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 5x 43 = 1720

Therefore, the value for common factors is 1720.

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 = 233382259200/(1x1720)

LCM = 233382259200/1720

LCM = 135687360

Thus, we can understand that the LCM of 960,430,817,692 is 135687360.

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

• LCM of 239, 534, 156, 152
• LCM of 386, 629, 578, 331
• LCM of 434, 968, 273, 148
• LCM of 829, 182, 850, 272
• LCM of 336, 597, 334, 818

1. What is the LCM of 960, 430, 817, 692?

Answer: LCM of 960, 430, 817, 692 is 135687360.

2. How to calculate the LCM of 960, 430, 817, 692?

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, 430, 817, 692.

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}.