Given numbers are 715,282,570,180,381

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

The LCM of 715,282,570,180,381 is 2919199140.

Find LCM of 715,282,570,180,381 with Prime Factorization

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

2 x 3 x 5 x 143 x 47 x 19 x 6 x 127 = 2919199140

Therefore, the lowest common multiple of 715,282,570,180,381 is 2919199140.

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.

715 x 282 x 570 x 180 x 381 = 7881837678000

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

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

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,282,570,180,381, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

282:2x 3x 47

570:2x 3x 5x 19

180:2x 2x 3x 3x 5

381:3x 127

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 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 7881837678000/(1x2700)

LCM = 7881837678000/2700

LCM = 2919199140

Thus, we can understand that the LCM of 715,282,570,180,381 is 2919199140.

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

• LCM of 696, 294, 390, 941, 904
• LCM of 158, 723, 377, 732, 843
• LCM of 416, 543, 517, 540, 847
• LCM of 185, 817, 452, 684, 332
• LCM of 606, 235, 927, 819, 726

1. What is the LCM of 715, 282, 570, 180, 381?

Answer: LCM of 715, 282, 570, 180, 381 is 2919199140.

2. How to calculate the LCM of 715, 282, 570, 180, 381?

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 715, 282, 570, 180, 381.

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}.