Given numbers are 387,993,564,248,442

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

The LCM of 387,993,564,248,442 is 329974797672.

Find LCM of 387,993,564,248,442 with Prime Factorization

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

2 x 2 x 3 x 129 x 331 x 47 x 62 x 221 = 329974797672

Therefore, the lowest common multiple of 387,993,564,248,442 is 329974797672.

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.

387 x 993 x 564 x 248 x 442 = 23758185432384

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.

387 : 1, 3, 9, 43, 129, 387

993 : 1, 3, 331, 993

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

248 : 1, 2, 4, 8, 31, 62, 124, 248

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,993,564,248,442, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

993:3x 331

564:2x 2x 3x 47

248:2x 2x 2x 31

442:2x 13x 17

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 23758185432384/(1x72)

LCM = 23758185432384/72

LCM = 329974797672

Thus, we can understand that the LCM of 387,993,564,248,442 is 329974797672.

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

• LCM of 994, 573, 563, 445, 937
• LCM of 437, 779, 369, 126, 255
• LCM of 675, 498, 508, 694, 642
• LCM of 740, 400, 808, 782, 400
• LCM of 761, 240, 451, 475, 181

1. What is the LCM of 387, 993, 564, 248, 442?

Answer: LCM of 387, 993, 564, 248, 442 is 329974797672.

2. How to calculate the LCM of 387, 993, 564, 248, 442?

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 387, 993, 564, 248, 442.

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}.