Given numbers are 361,248,724,748,791

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

The LCM of 361,248,724,748,791 is 2396931084856.

Find LCM of 361,248,724,748,791 with Prime Factorization

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

2 x 2 x 361 x 62 x 181 x 187 x 791 = 2396931084856

Therefore, the lowest common multiple of 361,248,724,748,791 is 2396931084856.

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.

361 x 248 x 724 x 748 x 791 = 38350897357696

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.

361 : 1, 19, 361

248 : 1, 2, 4, 8, 31, 62, 124, 248

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,248,724,748,791, is 1.

Now, the common factors can be found like this.

361:19x 19

248:2x 2x 2x 31

724:2x 2x 181

748:2x 2x 11x 17

791:7x 113

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 = 38350897357696/(1x16)

LCM = 38350897357696/16

LCM = 2396931084856

Thus, we can understand that the LCM of 361,248,724,748,791 is 2396931084856.

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

• LCM of 321, 206, 782, 303, 135
• LCM of 988, 880, 616, 503, 531
• LCM of 373, 838, 338, 993, 303
• LCM of 517, 285, 539, 797, 137
• LCM of 771, 607, 842, 164, 315

1. What is the LCM of 361, 248, 724, 748, 791?

Answer: LCM of 361, 248, 724, 748, 791 is 2396931084856.

2. How to calculate the LCM of 361, 248, 724, 748, 791?

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 361, 248, 724, 748, 791.

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}.