Given numbers are 678,336,782,642

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

The LCM of 678,336,782,642 is 1588467216.

Find LCM of 678,336,782,642 with Prime Factorization

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

2 x 3 x 113 x 56 x 391 x 107 = 1588467216

Therefore, the lowest common multiple of 678,336,782,642 is 1588467216.

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.

678 x 336 x 782 x 642 = 114369639552

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,336,782,642, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

336:2x 2x 2x 2x 3x 7

782:2x 17x 23

642:2x 3x 107

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 114369639552/(2x36)

LCM = 114369639552/72

LCM = 1588467216

Thus, we can understand that the LCM of 678,336,782,642 is 1588467216.

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

• LCM of 499, 333, 311, 922
• LCM of 753, 593, 848, 999
• LCM of 544, 906, 357, 773
• LCM of 917, 676, 466, 505
• LCM of 857, 850, 916, 879

1. What is the LCM of 678, 336, 782, 642?

Answer: LCM of 678, 336, 782, 642 is 1588467216.

2. How to calculate the LCM of 678, 336, 782, 642?

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 678, 336, 782, 642.

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}.