Given numbers are 288,740,716,422,718

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

The LCM of 288,740,716,422,718 is 722427302880.

Find LCM of 288,740,716,422,718 with Prime Factorization

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

2 x 2 x 72 x 185 x 179 x 211 x 359 = 722427302880

Therefore, the lowest common multiple of 288,740,716,422,718 is 722427302880.

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.

288 x 740 x 716 x 422 x 718 = 46235347384320

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

716 : 1, 2, 4, 179, 358, 716

422 : 1, 2, 211, 422

718 : 1, 2, 359, 718

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,740,716,422,718, is 2.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

740:2x 2x 5x 37

716:2x 2x 179

422:2x 211

718:2x 359

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 2 = 32

Therefore, the value for common factors is 32.

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 = 46235347384320/(2x32)

LCM = 46235347384320/64

LCM = 722427302880

Thus, we can understand that the LCM of 288,740,716,422,718 is 722427302880.

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

• LCM of 697, 924, 124, 503, 644
• LCM of 231, 212, 191, 894, 746
• LCM of 418, 650, 689, 999, 102
• LCM of 260, 319, 621, 443, 427
• LCM of 801, 788, 839, 244, 683

1. What is the LCM of 288, 740, 716, 422, 718?

Answer: LCM of 288, 740, 716, 422, 718 is 722427302880.

2. How to calculate the LCM of 288, 740, 716, 422, 718?

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 288, 740, 716, 422, 718.

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}.