Given numbers are 901,420,104,820,364

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

The LCM of 901,420,104,820,364 is 403395720.

Find LCM of 901,420,104,820,364 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 901 x 3 x 2 x 41 x 1 = 403395720

Therefore, the lowest common multiple of 901,420,104,820,364 is 403395720.

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 420 x 104 x 820 x 364 = 11746883366400

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

104 : 1, 2, 4, 8, 13, 26, 52, 104

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,420,104,820,364, is 1.

Now, the common factors can be found like this.

901:17x 53

420:2x 2x 3x 5x 7

104:2x 2x 2x 13

820:2x 2x 5x 41

364:2x 2x 7x 13

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 5x 7x 13 = 29120

Therefore, the value for common factors is 29120.

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 = 11746883366400/(1x29120)

LCM = 11746883366400/29120

LCM = 403395720

Thus, we can understand that the LCM of 901,420,104,820,364 is 403395720.

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

• LCM of 962, 107, 441, 693, 505
• LCM of 558, 782, 874, 575, 853
• LCM of 914, 290, 850, 185, 955
• LCM of 907, 237, 205, 332, 870
• LCM of 784, 561, 244, 143, 651

1. What is the LCM of 901, 420, 104, 820, 364?

Answer: LCM of 901, 420, 104, 820, 364 is 403395720.

2. How to calculate the LCM of 901, 420, 104, 820, 364?

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, 420, 104, 820, 364.

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}.