Given numbers are 782,677,738,440,412

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

The LCM of 782,677,738,440,412 is 4426716337560.

Find LCM of 782,677,738,440,412 with Prime Factorization

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

2 x 2 x 391 x 677 x 369 x 110 x 103 = 4426716337560

Therefore, the lowest common multiple of 782,677,738,440,412 is 4426716337560.

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.

782 x 677 x 738 x 440 x 412 = 70827461400960

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

677 : 1, 677

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,677,738,440,412, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

677:677

738:2x 3x 3x 41

440:2x 2x 2x 5x 11

412:2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 70827461400960/(1x16)

LCM = 70827461400960/16

LCM = 4426716337560

Thus, we can understand that the LCM of 782,677,738,440,412 is 4426716337560.

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

• LCM of 170, 666, 750, 344, 492
• LCM of 518, 116, 964, 429, 509
• LCM of 931, 150, 213, 552, 203
• LCM of 977, 432, 664, 900, 623
• LCM of 954, 261, 807, 376, 691

1. What is the LCM of 782, 677, 738, 440, 412?

Answer: LCM of 782, 677, 738, 440, 412 is 4426716337560.

2. How to calculate the LCM of 782, 677, 738, 440, 412?

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 782, 677, 738, 440, 412.

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}.