Given numbers are 361,840,397,544,752

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

The LCM of 361,840,397,544,752 is 384754550880.

Find LCM of 361,840,397,544,752 with Prime Factorization

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

2 x 2 x 2 x 2 x 361 x 105 x 397 x 34 x 47 = 384754550880

Therefore, the lowest common multiple of 361,840,397,544,752 is 384754550880.

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.

361 x 840 x 397 x 544 x 752 = 49248582512640

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.

361 : 1, 19, 361

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

397 : 1, 397

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,840,397,544,752, is 1.

Now, the common factors can be found like this.

361:19x 19

840:2x 2x 2x 3x 5x 7

397:397

544:2x 2x 2x 2x 2x 17

752:2x 2x 2x 2x 47

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 2 = 128

Therefore, the value for common factors is 128.

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 = 49248582512640/(1x128)

LCM = 49248582512640/128

LCM = 384754550880

Thus, we can understand that the LCM of 361,840,397,544,752 is 384754550880.

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

• LCM of 162, 490, 741, 359, 566
• LCM of 242, 448, 395, 978, 205
• LCM of 150, 397, 233, 113, 425
• LCM of 185, 856, 157, 426, 181
• LCM of 433, 614, 616, 805, 587

1. What is the LCM of 361, 840, 397, 544, 752?

Answer: LCM of 361, 840, 397, 544, 752 is 384754550880.

2. How to calculate the LCM of 361, 840, 397, 544, 752?

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 361, 840, 397, 544, 752.

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}.