Given numbers are 576,772,922,799,214

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

The LCM of 576,772,922,799,214 is 4381383564864.

Find LCM of 576,772,922,799,214 with Prime Factorization

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

2 x 2 x 144 x 193 x 461 x 799 x 107 = 4381383564864

Therefore, the lowest common multiple of 576,772,922,799,214 is 4381383564864.

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.

576 x 772 x 922 x 799 x 214 = 70102137037824

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

772 : 1, 2, 4, 193, 386, 772

922 : 1, 2, 461, 922

799 : 1, 17, 47, 799

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,772,922,799,214, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

772:2x 2x 193

922:2x 461

799:17x 47

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 70102137037824/(1x16)

LCM = 70102137037824/16

LCM = 4381383564864

Thus, we can understand that the LCM of 576,772,922,799,214 is 4381383564864.

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

• LCM of 201, 671, 849, 744, 613
• LCM of 543, 121, 861, 631, 600
• LCM of 761, 365, 563, 676, 141
• LCM of 109, 524, 396, 784, 603
• LCM of 640, 730, 565, 535, 995

1. What is the LCM of 576, 772, 922, 799, 214?

Answer: LCM of 576, 772, 922, 799, 214 is 4381383564864.

2. How to calculate the LCM of 576, 772, 922, 799, 214?

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 576, 772, 922, 799, 214.

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}.