Given numbers are 852,792,553,312

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

The LCM of 852,792,553,312 is 404251848.

Find LCM of 852,792,553,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 71 x 33 x 553 x 13 = 404251848

Therefore, the lowest common multiple of 852,792,553,312 is 404251848.

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.

852 x 792 x 553 x 312 = 116424532224

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

553 : 1, 7, 79, 553

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,792,553,312, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

792:2x 2x 2x 3x 3x 11

553:7x 79

312:2x 2x 2x 3x 13

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 3 = 288

Therefore, the value for common factors is 288.

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 = 116424532224/(1x288)

LCM = 116424532224/288

LCM = 404251848

Thus, we can understand that the LCM of 852,792,553,312 is 404251848.

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

• LCM of 626, 180, 813, 167
• LCM of 928, 840, 289, 957
• LCM of 688, 679, 910, 270
• LCM of 625, 852, 512, 801
• LCM of 764, 324, 524, 429

1. What is the LCM of 852, 792, 553, 312?

Answer: LCM of 852, 792, 553, 312 is 404251848.

2. How to calculate the LCM of 852, 792, 553, 312?

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 852, 792, 553, 312.

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}.