Given numbers are 363,714,402,312,284

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

The LCM of 363,714,402,312,284 is 21370765416.

Find LCM of 363,714,402,312,284 with Prime Factorization

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

2 x 2 x 3 x 121 x 119 x 67 x 26 x 71 = 21370765416

Therefore, the lowest common multiple of 363,714,402,312,284 is 21370765416.

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.

363 x 714 x 402 x 312 x 284 = 9232170659712

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.

363 : 1, 3, 11, 33, 121, 363

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,714,402,312,284, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

714:2x 3x 7x 17

402:2x 3x 67

312:2x 2x 2x 3x 13

284:2x 2x 71

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 9232170659712/(1x432)

LCM = 9232170659712/432

LCM = 21370765416

Thus, we can understand that the LCM of 363,714,402,312,284 is 21370765416.

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

• LCM of 219, 412, 275, 363, 818
• LCM of 211, 110, 659, 888, 990
• LCM of 691, 619, 549, 952, 205
• LCM of 981, 711, 109, 923, 573
• LCM of 430, 273, 387, 473, 429

1. What is the LCM of 363, 714, 402, 312, 284?

Answer: LCM of 363, 714, 402, 312, 284 is 21370765416.

2. How to calculate the LCM of 363, 714, 402, 312, 284?

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 363, 714, 402, 312, 284.

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}.