Given numbers are 642,507,385,321,467

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

The LCM of 642,507,385,321,467 is 19507397910.

Find LCM of 642,507,385,321,467 with Prime Factorization

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

3 x 107 x 2 x 169 x 385 x 1 x 467 = 19507397910

Therefore, the lowest common multiple of 642,507,385,321,467 is 19507397910.

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.

642 x 507 x 385 x 321 x 467 = 18785624187330

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.

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

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

385 : 1, 5, 7, 11, 35, 55, 77, 385

321 : 1, 3, 107, 321

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,507,385,321,467, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

507:3x 13x 13

385:5x 7x 11

321:3x 107

467:467

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

3x 3x 107 = 963

Therefore, the value for common factors is 963.

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 = 18785624187330/(1x963)

LCM = 18785624187330/963

LCM = 19507397910

Thus, we can understand that the LCM of 642,507,385,321,467 is 19507397910.

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

• LCM of 383, 308, 958, 741, 460
• LCM of 224, 533, 586, 769, 613
• LCM of 987, 354, 612, 866, 437
• LCM of 401, 451, 738, 167, 260
• LCM of 702, 962, 258, 670, 305

1. What is the LCM of 642, 507, 385, 321, 467?

Answer: LCM of 642, 507, 385, 321, 467 is 19507397910.

2. How to calculate the LCM of 642, 507, 385, 321, 467?

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 642, 507, 385, 321, 467.

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}.