Given numbers are 536,324,642,507,658

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

The LCM of 536,324,642,507,658 is 258295112712.

Find LCM of 536,324,642,507,658 with Prime Factorization

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

2 x 2 x 3 x 134 x 27 x 107 x 169 x 329 = 258295112712

Therefore, the lowest common multiple of 536,324,642,507,658 is 258295112712.

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.

536 x 324 x 642 x 507 x 658 = 37194496230528

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,324,642,507,658, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

324:2x 2x 3x 3x 3x 3

642:2x 3x 107

507:3x 13x 13

658:2x 7x 47

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 37194496230528/(1x144)

LCM = 37194496230528/144

LCM = 258295112712

Thus, we can understand that the LCM of 536,324,642,507,658 is 258295112712.

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

• LCM of 688, 181, 841, 556, 571
• LCM of 202, 231, 949, 957, 792
• LCM of 933, 916, 288, 467, 411
• LCM of 538, 496, 825, 529, 977
• LCM of 555, 584, 629, 208, 408

1. What is the LCM of 536, 324, 642, 507, 658?

Answer: LCM of 536, 324, 642, 507, 658 is 258295112712.

2. How to calculate the LCM of 536, 324, 642, 507, 658?

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 536, 324, 642, 507, 658.

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}.