Given numbers are 702,284,320,242,324

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

The LCM of 702,284,320,242,324 is 2894823360.

Find LCM of 702,284,320,242,324 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 13 x 71 x 80 x 121 x 3 = 2894823360

Therefore, the lowest common multiple of 702,284,320,242,324 is 2894823360.

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.

702 x 284 x 320 x 242 x 324 = 5002254766080

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

242 : 1, 2, 11, 22, 121, 242

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,284,320,242,324, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

284:2x 2x 71

320:2x 2x 2x 2x 2x 2x 5

242:2x 11x 11

324:2x 2x 3x 3x 3x 3

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 5002254766080/(2x864)

LCM = 5002254766080/1728

LCM = 2894823360

Thus, we can understand that the LCM of 702,284,320,242,324 is 2894823360.

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

• LCM of 756, 370, 321, 129, 478
• LCM of 253, 698, 877, 437, 554
• LCM of 472, 293, 305, 761, 106
• LCM of 288, 951, 204, 131, 242
• LCM of 502, 500, 654, 347, 396

1. What is the LCM of 702, 284, 320, 242, 324?

Answer: LCM of 702, 284, 320, 242, 324 is 2894823360.

2. How to calculate the LCM of 702, 284, 320, 242, 324?

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 702, 284, 320, 242, 324.

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}.