Given numbers are 402,352,403,146,850

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

The LCM of 402,352,403,146,850 is 884617562400.

Find LCM of 402,352,403,146,850 with Prime Factorization

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

2 x 201 x 176 x 403 x 73 x 425 = 884617562400

Therefore, the lowest common multiple of 402,352,403,146,850 is 884617562400.

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.

402 x 352 x 403 x 146 x 850 = 7076940499200

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

403 : 1, 13, 31, 403

146 : 1, 2, 73, 146

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,352,403,146,850, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

352:2x 2x 2x 2x 2x 11

403:13x 31

146:2x 73

850:2x 5x 5x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7076940499200/(1x8)

LCM = 7076940499200/8

LCM = 884617562400

Thus, we can understand that the LCM of 402,352,403,146,850 is 884617562400.

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

• LCM of 390, 922, 769, 763, 633
• LCM of 632, 694, 371, 720, 525
• LCM of 135, 405, 906, 308, 873
• LCM of 172, 869, 860, 907, 229
• LCM of 375, 352, 314, 449, 669

1. What is the LCM of 402, 352, 403, 146, 850?

Answer: LCM of 402, 352, 403, 146, 850 is 884617562400.

2. How to calculate the LCM of 402, 352, 403, 146, 850?

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 402, 352, 403, 146, 850.

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}.