Given numbers are 402,405,677,722

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

The LCM of 402,405,677,722 is 13263425190.

Find LCM of 402,405,677,722 with Prime Factorization

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

2 x 3 x 67 x 135 x 677 x 361 = 13263425190

Therefore, the lowest common multiple of 402,405,677,722 is 13263425190.

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.

402 x 405 x 677 x 722 = 79580551140

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

677 : 1, 677

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,405,677,722, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

405:3x 3x 3x 3x 5

677:677

722:2x 19x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 79580551140/(1x6)

LCM = 79580551140/6

LCM = 13263425190

Thus, we can understand that the LCM of 402,405,677,722 is 13263425190.

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

• LCM of 149, 437, 605, 988
• LCM of 157, 262, 702, 347
• LCM of 296, 297, 511, 240
• LCM of 262, 249, 292, 624
• LCM of 215, 622, 648, 933

1. What is the LCM of 402, 405, 677, 722?

Answer: LCM of 402, 405, 677, 722 is 13263425190.

2. How to calculate the LCM of 402, 405, 677, 722?

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 402, 405, 677, 722.

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}.