Given numbers are 420,296,817,944,104

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

The LCM of 420,296,817,944,104 is 38951880240.

Find LCM of 420,296,817,944,104 with Prime Factorization

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

2 x 2 x 2 x 105 x 37 x 817 x 118 x 13 = 38951880240

Therefore, the lowest common multiple of 420,296,817,944,104 is 38951880240.

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.

420 x 296 x 817 x 944 x 104 = 9971681341440

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.

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

817 : 1, 19, 43, 817

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,296,817,944,104, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

296:2x 2x 2x 37

817:19x 43

944:2x 2x 2x 2x 59

104:2x 2x 2x 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 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 9971681341440/(1x256)

LCM = 9971681341440/256

LCM = 38951880240

Thus, we can understand that the LCM of 420,296,817,944,104 is 38951880240.

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

• LCM of 770, 904, 292, 669, 869
• LCM of 856, 755, 866, 662, 578
• LCM of 346, 800, 780, 206, 942
• LCM of 631, 412, 174, 248, 214
• LCM of 848, 120, 538, 824, 760

1. What is the LCM of 420, 296, 817, 944, 104?

Answer: LCM of 420, 296, 817, 944, 104 is 38951880240.

2. How to calculate the LCM of 420, 296, 817, 944, 104?

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 420, 296, 817, 944, 104.

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}.