Given numbers are 783,393,460,132,408

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

The LCM of 783,393,460,132,408 is 17646658920.

Find LCM of 783,393,460,132,408 with Prime Factorization

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

2 x 2 x 3 x 261 x 131 x 115 x 11 x 34 = 17646658920

Therefore, the lowest common multiple of 783,393,460,132,408 is 17646658920.

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.

783 x 393 x 460 x 132 x 408 = 7623356653440

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

393 : 1, 3, 131, 393

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,393,460,132,408, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

393:3x 131

460:2x 2x 5x 23

132:2x 2x 3x 11

408:2x 2x 2x 3x 17

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 = 7623356653440/(1x432)

LCM = 7623356653440/432

LCM = 17646658920

Thus, we can understand that the LCM of 783,393,460,132,408 is 17646658920.

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

• LCM of 313, 519, 669, 892, 429
• LCM of 372, 649, 523, 921, 371
• LCM of 590, 329, 478, 989, 893
• LCM of 832, 147, 837, 816, 649
• LCM of 517, 521, 234, 857, 640

1. What is the LCM of 783, 393, 460, 132, 408?

Answer: LCM of 783, 393, 460, 132, 408 is 17646658920.

2. How to calculate the LCM of 783, 393, 460, 132, 408?

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 783, 393, 460, 132, 408.

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}.