Given numbers are 901,546,684,920

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

The LCM of 901,546,684,920 is 12898824120.

Find LCM of 901,546,684,920 with Prime Factorization

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

2 x 2 x 3 x 901 x 91 x 57 x 230 = 12898824120

Therefore, the lowest common multiple of 901,546,684,920 is 12898824120.

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.

901 x 546 x 684 x 920 = 309571778880

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.

901 : 1, 17, 53, 901

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,546,684,920, is 1.

Now, the common factors can be found like this.

901:17x 53

546:2x 3x 7x 13

684:2x 2x 3x 3x 19

920:2x 2x 2x 5x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 309571778880/(1x24)

LCM = 309571778880/24

LCM = 12898824120

Thus, we can understand that the LCM of 901,546,684,920 is 12898824120.

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

• LCM of 149, 662, 682, 151
• LCM of 646, 247, 660, 179
• LCM of 336, 828, 222, 497
• LCM of 265, 957, 861, 513
• LCM of 200, 334, 642, 714

1. What is the LCM of 901, 546, 684, 920?

Answer: LCM of 901, 546, 684, 920 is 12898824120.

2. How to calculate the LCM of 901, 546, 684, 920?

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 901, 546, 684, 920.

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}.