Given numbers are 364,717,805,893,420

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

The LCM of 364,717,805,893,420 is 26802162660.

Find LCM of 364,717,805,893,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 13 x 239 x 23 x 893 x 1 = 26802162660

Therefore, the lowest common multiple of 364,717,805,893,420 is 26802162660.

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.

364 x 717 x 805 x 893 x 420 = 78798358220400

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.

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

717 : 1, 3, 239, 717

805 : 1, 5, 7, 23, 35, 115, 161, 805

893 : 1, 19, 47, 893

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,717,805,893,420, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

717:3x 239

805:5x 7x 23

893:19x 47

420:2x 2x 3x 5x 7

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 3x 5x 7x 7 = 2940

Therefore, the value for common factors is 2940.

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 = 78798358220400/(1x2940)

LCM = 78798358220400/2940

LCM = 26802162660

Thus, we can understand that the LCM of 364,717,805,893,420 is 26802162660.

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

• LCM of 454, 546, 462, 995, 128
• LCM of 970, 333, 763, 886, 343
• LCM of 644, 756, 375, 360, 942
• LCM of 912, 750, 289, 879, 805
• LCM of 120, 466, 359, 356, 222

1. What is the LCM of 364, 717, 805, 893, 420?

Answer: LCM of 364, 717, 805, 893, 420 is 26802162660.

2. How to calculate the LCM of 364, 717, 805, 893, 420?

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 364, 717, 805, 893, 420.

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}.