Given numbers are 513,112,582,792,376

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

The LCM of 513,112,582,792,376 is 2881360944.

Find LCM of 513,112,582,792,376 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 57 x 14 x 97 x 11 x 47 = 2881360944

Therefore, the lowest common multiple of 513,112,582,792,376 is 2881360944.

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.

513 x 112 x 582 x 792 x 376 = 9957983422464

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

582 : 1, 2, 3, 6, 97, 194, 291, 582

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

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,112,582,792,376, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

112:2x 2x 2x 2x 7

582:2x 3x 97

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

376:2x 2x 2x 47

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 2x 2x 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 9957983422464/(1x3456)

LCM = 9957983422464/3456

LCM = 2881360944

Thus, we can understand that the LCM of 513,112,582,792,376 is 2881360944.

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

• LCM of 155, 945, 736, 322, 192
• LCM of 117, 647, 317, 537, 528
• LCM of 358, 500, 140, 785, 156
• LCM of 515, 955, 450, 620, 915
• LCM of 847, 695, 729, 202, 201

1. What is the LCM of 513, 112, 582, 792, 376?

Answer: LCM of 513, 112, 582, 792, 376 is 2881360944.

2. How to calculate the LCM of 513, 112, 582, 792, 376?

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 513, 112, 582, 792, 376.

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}.