Given numbers are 642,652,578,966

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

The LCM of 642,652,578,966 is 9738147468.

Find LCM of 642,652,578,966 with Prime Factorization

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

2 x 3 x 107 x 326 x 289 x 161 = 9738147468

Therefore, the lowest common multiple of 642,652,578,966 is 9738147468.

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 652 x 578 x 966 = 233715539232

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

652 : 1, 2, 4, 163, 326, 652

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,652,578,966, is 2.

Now, the common factors can be found like this.

642:2x 3x 107

652:2x 2x 163

578:2x 17x 17

966:2x 3x 7x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 233715539232/(2x12)

LCM = 233715539232/24

LCM = 9738147468

Thus, we can understand that the LCM of 642,652,578,966 is 9738147468.

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

• LCM of 387, 775, 265, 546
• LCM of 807, 447, 876, 647
• LCM of 284, 785, 144, 910
• LCM of 535, 997, 490, 732
• LCM of 191, 554, 946, 274

1. What is the LCM of 642, 652, 578, 966?

Answer: LCM of 642, 652, 578, 966 is 9738147468.

2. How to calculate the LCM of 642, 652, 578, 966?

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, 652, 578, 966.

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}.