Given numbers are 790,405,771,145,624

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

The LCM of 790,405,771,145,624 is 49599416880.

Find LCM of 790,405,771,145,624 with Prime Factorization

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

2 x 3 x 5 x 79 x 27 x 257 x 29 x 104 = 49599416880

Therefore, the lowest common multiple of 790,405,771,145,624 is 49599416880.

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.

790 x 405 x 771 x 145 x 624 = 22319737596000

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

771 : 1, 3, 257, 771

145 : 1, 5, 29, 145

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,405,771,145,624, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

405:3x 3x 3x 3x 5

771:3x 257

145:5x 29

624:2x 2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 22319737596000/(1x450)

LCM = 22319737596000/450

LCM = 49599416880

Thus, we can understand that the LCM of 790,405,771,145,624 is 49599416880.

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

• LCM of 268, 905, 941, 240, 169
• LCM of 823, 565, 981, 603, 267
• LCM of 422, 218, 902, 919, 651
• LCM of 551, 543, 967, 830, 217
• LCM of 600, 632, 651, 700, 128

1. What is the LCM of 790, 405, 771, 145, 624?

Answer: LCM of 790, 405, 771, 145, 624 is 49599416880.

2. How to calculate the LCM of 790, 405, 771, 145, 624?

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 790, 405, 771, 145, 624.

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}.