Given numbers are 432,746,220,408,952

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

The LCM of 432,746,220,408,952 is 1054635120.

Find LCM of 432,746,220,408,952 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 18 x 373 x 55 x 1 x 7 = 1054635120

Therefore, the lowest common multiple of 432,746,220,408,952 is 1054635120.

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 746 x 220 x 408 x 952 = 27538632253440

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

746 : 1, 2, 373, 746

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,746,220,408,952, is 2.

Now, the common factors can be found like this.

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

746:2x 373

220:2x 2x 5x 11

408:2x 2x 2x 3x 17

952:2x 2x 2x 7x 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 2x 2x 2x 2x 2x 3x 17 = 13056

Therefore, the value for common factors is 13056.

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 = 27538632253440/(2x13056)

LCM = 27538632253440/26112

LCM = 1054635120

Thus, we can understand that the LCM of 432,746,220,408,952 is 1054635120.

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

• LCM of 452, 524, 820, 189, 534
• LCM of 168, 621, 468, 925, 527
• LCM of 620, 813, 900, 538, 908
• LCM of 562, 223, 743, 562, 187
• LCM of 607, 577, 933, 406, 847

1. What is the LCM of 432, 746, 220, 408, 952?

Answer: LCM of 432, 746, 220, 408, 952 is 1054635120.

2. How to calculate the LCM of 432, 746, 220, 408, 952?

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, 746, 220, 408, 952.

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}.