Given numbers are 361,135,507,782,501

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

The LCM of 361,135,507,782,501 is 1075600261710.

Find LCM of 361,135,507,782,501 with Prime Factorization

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

3 x 361 x 45 x 169 x 782 x 167 = 1075600261710

Therefore, the lowest common multiple of 361,135,507,782,501 is 1075600261710.

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.

361 x 135 x 507 x 782 x 501 = 9680402355390

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.

361 : 1, 19, 361

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

507 : 1, 3, 13, 39, 169, 507

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

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,135,507,782,501, is 1.

Now, the common factors can be found like this.

361:19x 19

135:3x 3x 3x 5

507:3x 13x 13

782:2x 17x 23

501:3x 167

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 9680402355390/(1x9)

LCM = 9680402355390/9

LCM = 1075600261710

Thus, we can understand that the LCM of 361,135,507,782,501 is 1075600261710.

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

• LCM of 150, 429, 260, 172, 212
• LCM of 454, 349, 681, 335, 248
• LCM of 194, 782, 548, 588, 825
• LCM of 144, 170, 777, 337, 986
• LCM of 574, 174, 911, 867, 480

1. What is the LCM of 361, 135, 507, 782, 501?

Answer: LCM of 361, 135, 507, 782, 501 is 1075600261710.

2. How to calculate the LCM of 361, 135, 507, 782, 501?

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 361, 135, 507, 782, 501.

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}.