Given numbers are 720,239,814,302,282

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

The LCM of 720,239,814,302,282 is 497049466320.

Find LCM of 720,239,814,302,282 with Prime Factorization

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

2 x 3 x 120 x 239 x 407 x 151 x 47 = 497049466320

Therefore, the lowest common multiple of 720,239,814,302,282 is 497049466320.

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.

720 x 239 x 814 x 302 x 282 = 11929187191680

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

239 : 1, 239

814 : 1, 2, 11, 22, 37, 74, 407, 814

302 : 1, 2, 151, 302

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,239,814,302,282, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

239:239

814:2x 11x 37

302:2x 151

282:2x 3x 47

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11929187191680/(1x24)

LCM = 11929187191680/24

LCM = 497049466320

Thus, we can understand that the LCM of 720,239,814,302,282 is 497049466320.

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

• LCM of 735, 812, 434, 556, 771
• LCM of 907, 603, 946, 331, 656
• LCM of 978, 274, 897, 347, 757
• LCM of 405, 888, 654, 245, 829
• LCM of 820, 345, 113, 661, 195

1. What is the LCM of 720, 239, 814, 302, 282?

Answer: LCM of 720, 239, 814, 302, 282 is 497049466320.

2. How to calculate the LCM of 720, 239, 814, 302, 282?

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 720, 239, 814, 302, 282.

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}.