Given numbers are 435,276,428,159,912

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

The LCM of 435,276,428,159,912 is 17248459920.

Find LCM of 435,276,428,159,912 with Prime Factorization

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

2 x 2 x 3 x 145 x 23 x 107 x 53 x 76 = 17248459920

Therefore, the lowest common multiple of 435,276,428,159,912 is 17248459920.

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.

435 x 276 x 428 x 159 x 912 = 7451334685440

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

428 : 1, 2, 4, 107, 214, 428

159 : 1, 3, 53, 159

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,276,428,159,912, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

276:2x 2x 3x 23

428:2x 2x 107

159:3x 53

912:2x 2x 2x 2x 3x 19

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 = 7451334685440/(1x432)

LCM = 7451334685440/432

LCM = 17248459920

Thus, we can understand that the LCM of 435,276,428,159,912 is 17248459920.

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

• LCM of 510, 196, 262, 201, 459
• LCM of 661, 800, 426, 607, 436
• LCM of 877, 678, 646, 505, 196
• LCM of 880, 767, 423, 767, 635
• LCM of 834, 323, 349, 933, 324

1. What is the LCM of 435, 276, 428, 159, 912?

Answer: LCM of 435, 276, 428, 159, 912 is 17248459920.

2. How to calculate the LCM of 435, 276, 428, 159, 912?

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 435, 276, 428, 159, 912.

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}.