Given numbers are 432,369,261,552,868

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

The LCM of 432,369,261,552,868 is 2563617168.

Find LCM of 432,369,261,552,868 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 6 x 41 x 29 x 23 x 217 = 2563617168

Therefore, the lowest common multiple of 432,369,261,552,868 is 2563617168.

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.

432 x 369 x 261 x 552 x 868 = 19934687098368

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

369 : 1, 3, 9, 41, 123, 369

261 : 1, 3, 9, 29, 87, 261

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,369,261,552,868, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

369:3x 3x 41

261:3x 3x 29

552:2x 2x 2x 3x 23

868:2x 2x 7x 31

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 2x 3x 3x 3x 3x 3 = 7776

Therefore, the value for common factors is 7776.

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 = 19934687098368/(1x7776)

LCM = 19934687098368/7776

LCM = 2563617168

Thus, we can understand that the LCM of 432,369,261,552,868 is 2563617168.

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

• LCM of 592, 784, 897, 872, 361
• LCM of 631, 492, 558, 551, 834
• LCM of 387, 631, 467, 937, 193
• LCM of 818, 994, 704, 344, 739
• LCM of 630, 220, 259, 488, 334

1. What is the LCM of 432, 369, 261, 552, 868?

Answer: LCM of 432, 369, 261, 552, 868 is 2563617168.

2. How to calculate the LCM of 432, 369, 261, 552, 868?

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 432, 369, 261, 552, 868.

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}.