Given numbers are 681,214,864,788,724

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

The LCM of 681,214,864,788,724 is 748286962272.

Find LCM of 681,214,864,788,724 with Prime Factorization

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

2 x 2 x 3 x 227 x 107 x 72 x 197 x 181 = 748286962272

Therefore, the lowest common multiple of 681,214,864,788,724 is 748286962272.

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.

681 x 214 x 864 x 788 x 724 = 71835548378112

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.

681 : 1, 3, 227, 681

214 : 1, 2, 107, 214

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

788 : 1, 2, 4, 197, 394, 788

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,214,864,788,724, is 1.

Now, the common factors can be found like this.

681:3x 227

214:2x 107

864:2x 2x 2x 2x 2x 3x 3x 3

788:2x 2x 197

724:2x 2x 181

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 3 = 96

Therefore, the value for common factors is 96.

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 = 71835548378112/(1x96)

LCM = 71835548378112/96

LCM = 748286962272

Thus, we can understand that the LCM of 681,214,864,788,724 is 748286962272.

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

• LCM of 725, 393, 540, 826, 262
• LCM of 262, 232, 724, 711, 387
• LCM of 723, 560, 804, 409, 507
• LCM of 824, 633, 835, 586, 537
• LCM of 604, 149, 595, 292, 131

1. What is the LCM of 681, 214, 864, 788, 724?

Answer: LCM of 681, 214, 864, 788, 724 is 748286962272.

2. How to calculate the LCM of 681, 214, 864, 788, 724?

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 681, 214, 864, 788, 724.

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}.