Given numbers are 432,414,594,714,263

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

The LCM of 432,414,594,714,263 is 3420636912.

Find LCM of 432,414,594,714,263 with Prime Factorization

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

2 x 3 x 3 x 3 x 8 x 23 x 11 x 119 x 263 = 3420636912

Therefore, the lowest common multiple of 432,414,594,714,263 is 3420636912.

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 414 x 594 x 714 x 263 = 19949154470784

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,414,594,714,263, is 1.

Now, the common factors can be found like this.

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

414:2x 3x 3x 23

594:2x 3x 3x 3x 11

714:2x 3x 7x 17

263:263

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 3x 3x 3 = 5832

Therefore, the value for common factors is 5832.

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 = 19949154470784/(1x5832)

LCM = 19949154470784/5832

LCM = 3420636912

Thus, we can understand that the LCM of 432,414,594,714,263 is 3420636912.

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

• LCM of 887, 806, 495, 761, 123
• LCM of 506, 663, 654, 740, 678
• LCM of 980, 423, 252, 109, 453
• LCM of 240, 809, 122, 234, 219
• LCM of 994, 924, 614, 643, 367

1. What is the LCM of 432, 414, 594, 714, 263?

Answer: LCM of 432, 414, 594, 714, 263 is 3420636912.

2. How to calculate the LCM of 432, 414, 594, 714, 263?

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, 414, 594, 714, 263.

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}.