Given numbers are 432,759,798,741

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

The LCM of 432,759,798,741 is 188972784.

Find LCM of 432,759,798,741 with Prime Factorization

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

2 x 3 x 19 x 72 x 253 x 7 x 13 = 188972784

Therefore, the lowest common multiple of 432,759,798,741 is 188972784.

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 759 x 798 x 741 = 193886076384

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

741 : 1, 3, 13, 19, 39, 57, 247, 741

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,759,798,741, is 3.

Now, the common factors can be found like this.

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

759:3x 11x 23

798:2x 3x 7x 19

741:3x 13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 19 = 342

Therefore, the value for common factors is 342.

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 = 193886076384/(3x342)

LCM = 193886076384/1026

LCM = 188972784

Thus, we can understand that the LCM of 432,759,798,741 is 188972784.

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

• LCM of 331, 492, 194, 928
• LCM of 955, 885, 855, 149
• LCM of 224, 876, 509, 811
• LCM of 154, 638, 416, 872
• LCM of 138, 962, 791, 393

1. What is the LCM of 432, 759, 798, 741?

Answer: LCM of 432, 759, 798, 741 is 188972784.

2. How to calculate the LCM of 432, 759, 798, 741?

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, 759, 798, 741.

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}.