Given numbers are 288,651,330,702,102

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

The LCM of 288,651,330,702,102 is 2278916640.

Find LCM of 288,651,330,702,102 with Prime Factorization

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

2 x 3 x 3 x 16 x 217 x 55 x 39 x 17 = 2278916640

Therefore, the lowest common multiple of 288,651,330,702,102 is 2278916640.

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.

288 x 651 x 330 x 702 x 102 = 4430213948160

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

651 : 1, 3, 7, 21, 31, 93, 217, 651

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,651,330,702,102, is 3.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

651:3x 7x 31

330:2x 3x 5x 11

702:2x 3x 3x 3x 13

102:2x 3x 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 2x 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 4430213948160/(3x648)

LCM = 4430213948160/1944

LCM = 2278916640

Thus, we can understand that the LCM of 288,651,330,702,102 is 2278916640.

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

• LCM of 333, 557, 446, 384, 281
• LCM of 335, 479, 665, 751, 398
• LCM of 918, 288, 232, 185, 228
• LCM of 242, 379, 850, 347, 767
• LCM of 532, 240, 629, 576, 409

1. What is the LCM of 288, 651, 330, 702, 102?

Answer: LCM of 288, 651, 330, 702, 102 is 2278916640.

2. How to calculate the LCM of 288, 651, 330, 702, 102?

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 288, 651, 330, 702, 102.

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}.