Given numbers are 207,424,282,668,780

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

The LCM of 207,424,282,668,780 is 44777917080.

Find LCM of 207,424,282,668,780 with Prime Factorization

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

2 x 2 x 3 x 69 x 106 x 47 x 167 x 65 = 44777917080

Therefore, the lowest common multiple of 207,424,282,668,780 is 44777917080.

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.

207 x 424 x 282 x 668 x 780 = 12896040119040

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.

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

282 : 1, 2, 3, 6, 47, 94, 141, 282

668 : 1, 2, 4, 167, 334, 668

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 207,424,282,668,780, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

424:2x 2x 2x 53

282:2x 3x 47

668:2x 2x 167

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 12896040119040/(1x288)

LCM = 12896040119040/288

LCM = 44777917080

Thus, we can understand that the LCM of 207,424,282,668,780 is 44777917080.

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

• LCM of 289, 516, 316, 741, 662
• LCM of 652, 386, 195, 671, 231
• LCM of 136, 157, 521, 633, 840
• LCM of 512, 249, 986, 424, 364
• LCM of 933, 955, 118, 572, 673

1. What is the LCM of 207, 424, 282, 668, 780?

Answer: LCM of 207, 424, 282, 668, 780 is 44777917080.

2. How to calculate the LCM of 207, 424, 282, 668, 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 207, 424, 282, 668, 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}.