Given numbers are 432,643,663,138,276

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

The LCM of 432,643,663,138,276 is 1411935408.

Find LCM of 432,643,663,138,276 with Prime Factorization

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

2 x 2 x 3 x 23 x 36 x 643 x 221 x 1 x 1 = 1411935408

Therefore, the lowest common multiple of 432,643,663,138,276 is 1411935408.

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 643 x 663 x 138 x 276 = 7014495106944

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

643 : 1, 643

663 : 1, 3, 13, 17, 39, 51, 221, 663

138 : 1, 2, 3, 6, 23, 46, 69, 138

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,643,663,138,276, is 1.

Now, the common factors can be found like this.

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

643:643

663:3x 13x 17

138:2x 3x 23

276:2x 2x 3x 23

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 3x 3x 23 = 4968

Therefore, the value for common factors is 4968.

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 = 7014495106944/(1x4968)

LCM = 7014495106944/4968

LCM = 1411935408

Thus, we can understand that the LCM of 432,643,663,138,276 is 1411935408.

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

• LCM of 239, 317, 867, 636, 336
• LCM of 245, 279, 344, 728, 578
• LCM of 207, 135, 383, 248, 286
• LCM of 151, 128, 522, 692, 327
• LCM of 258, 627, 765, 142, 301

1. What is the LCM of 432, 643, 663, 138, 276?

Answer: LCM of 432, 643, 663, 138, 276 is 1411935408.

2. How to calculate the LCM of 432, 643, 663, 138, 276?

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, 643, 663, 138, 276.

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}.