Given numbers are 642,912,353,578,490

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

The LCM of 642,912,353,578,490 is 2439030597360.

Find LCM of 642,912,353,578,490 with Prime Factorization

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

2 x 3 x 107 x 152 x 353 x 289 x 245 = 2439030597360

Therefore, the lowest common multiple of 642,912,353,578,490 is 2439030597360.

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.

642 x 912 x 353 x 578 x 490 = 58536734336640

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

353 : 1, 353

578 : 1, 2, 17, 34, 289, 578

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,912,353,578,490, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

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

353:353

578:2x 17x 17

490:2x 5x 7x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 58536734336640/(1x24)

LCM = 58536734336640/24

LCM = 2439030597360

Thus, we can understand that the LCM of 642,912,353,578,490 is 2439030597360.

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

• LCM of 111, 135, 524, 466, 857
• LCM of 552, 303, 637, 964, 684
• LCM of 413, 912, 241, 402, 914
• LCM of 201, 607, 804, 229, 801
• LCM of 272, 727, 272, 455, 603

1. What is the LCM of 642, 912, 353, 578, 490?

Answer: LCM of 642, 912, 353, 578, 490 is 2439030597360.

2. How to calculate the LCM of 642, 912, 353, 578, 490?

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 642, 912, 353, 578, 490.

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}.