Given numbers are 862,514,272,207,780

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

The LCM of 862,514,272,207,780 is 405380635920.

Find LCM of 862,514,272,207,780 with Prime Factorization

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

2 x 2 x 3 x 431 x 257 x 68 x 69 x 65 = 405380635920

Therefore, the lowest common multiple of 862,514,272,207,780 is 405380635920.

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.

862 x 514 x 272 x 207 x 780 = 19458270524160

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.

862 : 1, 2, 431, 862

514 : 1, 2, 257, 514

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

207 : 1, 3, 9, 23, 69, 207

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,514,272,207,780, is 1.

Now, the common factors can be found like this.

862:2x 431

514:2x 257

272:2x 2x 2x 2x 17

207:3x 3x 23

780:2x 2x 3x 5x 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 3 = 48

Therefore, the value for common factors is 48.

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 = 19458270524160/(1x48)

LCM = 19458270524160/48

LCM = 405380635920

Thus, we can understand that the LCM of 862,514,272,207,780 is 405380635920.

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

• LCM of 260, 819, 240, 859, 645
• LCM of 220, 810, 639, 186, 295
• LCM of 248, 964, 819, 503, 486
• LCM of 340, 118, 164, 873, 107
• LCM of 315, 953, 933, 575, 988

1. What is the LCM of 862, 514, 272, 207, 780?

Answer: LCM of 862, 514, 272, 207, 780 is 405380635920.

2. How to calculate the LCM of 862, 514, 272, 207, 780?

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 862, 514, 272, 207, 780.

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}.