Given numbers are 460,351,376,106,792

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

The LCM of 460,351,376,106,792 is 8848330920.

Find LCM of 460,351,376,106,792 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 115 x 39 x 47 x 53 x 11 = 8848330920

Therefore, the lowest common multiple of 460,351,376,106,792 is 8848330920.

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.

460 x 351 x 376 x 106 x 792 = 5096638609920

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

351 : 1, 3, 9, 13, 27, 39, 117, 351

376 : 1, 2, 4, 8, 47, 94, 188, 376

106 : 1, 2, 53, 106

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,351,376,106,792, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

351:3x 3x 3x 13

376:2x 2x 2x 47

106:2x 53

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

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 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 5096638609920/(1x576)

LCM = 5096638609920/576

LCM = 8848330920

Thus, we can understand that the LCM of 460,351,376,106,792 is 8848330920.

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

• LCM of 890, 889, 572, 376, 746
• LCM of 983, 325, 500, 638, 668
• LCM of 638, 154, 376, 250, 843
• LCM of 591, 809, 278, 537, 565
• LCM of 215, 870, 433, 432, 250

1. What is the LCM of 460, 351, 376, 106, 792?

Answer: LCM of 460, 351, 376, 106, 792 is 8848330920.

2. How to calculate the LCM of 460, 351, 376, 106, 792?

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 460, 351, 376, 106, 792.

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}.