Given numbers are 642,272,378,372,438

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

The LCM of 642,272,378,372,438 is 12447984528.

Find LCM of 642,272,378,372,438 with Prime Factorization

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

2 x 2 x 3 x 107 x 68 x 63 x 31 x 73 = 12447984528

Therefore, the lowest common multiple of 642,272,378,372,438 is 12447984528.

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 272 x 378 x 372 x 438 = 10755058632192

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,272,378,372,438, is 2.

Now, the common factors can be found like this.

642:2x 3x 107

272:2x 2x 2x 2x 17

378:2x 3x 3x 3x 7

372:2x 2x 3x 31

438:2x 3x 73

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 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 10755058632192/(2x432)

LCM = 10755058632192/864

LCM = 12447984528

Thus, we can understand that the LCM of 642,272,378,372,438 is 12447984528.

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

• LCM of 572, 182, 570, 269, 290
• LCM of 704, 741, 158, 169, 778
• LCM of 916, 182, 776, 124, 143
• LCM of 122, 952, 254, 898, 482
• LCM of 695, 340, 752, 111, 231

1. What is the LCM of 642, 272, 378, 372, 438?

Answer: LCM of 642, 272, 378, 372, 438 is 12447984528.

2. How to calculate the LCM of 642, 272, 378, 372, 438?

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, 272, 378, 372, 438.

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}.