Given numbers are 948,440,788,360,642

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

The LCM of 948,440,788,360,642 is 6594354360.

Find LCM of 948,440,788,360,642 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 79 x 11 x 197 x 3 x 107 = 6594354360

Therefore, the lowest common multiple of 948,440,788,360,642 is 6594354360.

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.

948 x 440 x 788 x 360 x 642 = 75966962227200

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

788 : 1, 2, 4, 197, 394, 788

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 948,440,788,360,642, is 2.

Now, the common factors can be found like this.

948:2x 2x 3x 79

440:2x 2x 2x 5x 11

788:2x 2x 197

360:2x 2x 2x 3x 3x 5

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 2x 2x 2x 2x 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 75966962227200/(2x5760)

LCM = 75966962227200/11520

LCM = 6594354360

Thus, we can understand that the LCM of 948,440,788,360,642 is 6594354360.

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

• LCM of 419, 109, 598, 656, 249
• LCM of 935, 334, 705, 943, 130
• LCM of 675, 384, 631, 139, 963
• LCM of 146, 144, 136, 210, 797
• LCM of 837, 903, 565, 792, 479

1. What is the LCM of 948, 440, 788, 360, 642?

Answer: LCM of 948, 440, 788, 360, 642 is 6594354360.

2. How to calculate the LCM of 948, 440, 788, 360, 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 948, 440, 788, 360, 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}.