Given numbers are 964,626,146,396,920

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

The LCM of 964,626,146,396,920 is 501541947720.

Find LCM of 964,626,146,396,920 with Prime Factorization

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

2 x 2 x 241 x 313 x 73 x 99 x 230 = 501541947720

Therefore, the lowest common multiple of 964,626,146,396,920 is 501541947720.

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 626 x 146 x 396 x 920 = 32098684654080

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

626 : 1, 2, 313, 626

146 : 1, 2, 73, 146

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,626,146,396,920, is 2.

Now, the common factors can be found like this.

964:2x 2x 241

626:2x 313

146:2x 73

396:2x 2x 3x 3x 11

920:2x 2x 2x 5x 23

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 32098684654080/(2x32)

LCM = 32098684654080/64

LCM = 501541947720

Thus, we can understand that the LCM of 964,626,146,396,920 is 501541947720.

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

• LCM of 688, 404, 304, 404, 573
• LCM of 924, 677, 597, 460, 402
• LCM of 558, 708, 861, 877, 591
• LCM of 502, 953, 590, 390, 365
• LCM of 135, 341, 265, 858, 162

1. What is the LCM of 964, 626, 146, 396, 920?

Answer: LCM of 964, 626, 146, 396, 920 is 501541947720.

2. How to calculate the LCM of 964, 626, 146, 396, 920?

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, 626, 146, 396, 920.

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}.