Given numbers are 807,546,420,782,257

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

The LCM of 807,546,420,782,257 is 147589276380.

Find LCM of 807,546,420,782,257 with Prime Factorization

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

2 x 3 x 7 x 269 x 13 x 10 x 391 x 257 = 147589276380

Therefore, the lowest common multiple of 807,546,420,782,257 is 147589276380.

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.

807 x 546 x 420 x 782 x 257 = 37192497647760

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.

807 : 1, 3, 269, 807

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

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,546,420,782,257, is 1.

Now, the common factors can be found like this.

807:3x 269

546:2x 3x 7x 13

420:2x 2x 3x 5x 7

782:2x 17x 23

257:257

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 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 37192497647760/(1x252)

LCM = 37192497647760/252

LCM = 147589276380

Thus, we can understand that the LCM of 807,546,420,782,257 is 147589276380.

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

• LCM of 252, 783, 768, 300, 879
• LCM of 422, 192, 230, 724, 440
• LCM of 610, 437, 518, 143, 133
• LCM of 840, 404, 395, 377, 400
• LCM of 617, 565, 671, 187, 293

1. What is the LCM of 807, 546, 420, 782, 257?

Answer: LCM of 807, 546, 420, 782, 257 is 147589276380.

2. How to calculate the LCM of 807, 546, 420, 782, 257?

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 807, 546, 420, 782, 257.

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}.