Given numbers are 748,103,936,334,566

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

The LCM of 748,103,936,334,566 is 852035297256.

Find LCM of 748,103,936,334,566 with Prime Factorization

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

2 x 2 x 187 x 103 x 234 x 167 x 283 = 852035297256

Therefore, the lowest common multiple of 748,103,936,334,566 is 852035297256.

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.

748 x 103 x 936 x 334 x 566 = 13632564756096

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.

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

103 : 1, 103

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

334 : 1, 2, 167, 334

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,103,936,334,566, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

103:103

936:2x 2x 2x 3x 3x 13

334:2x 167

566:2x 283

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 = 13632564756096/(1x16)

LCM = 13632564756096/16

LCM = 852035297256

Thus, we can understand that the LCM of 748,103,936,334,566 is 852035297256.

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

• LCM of 230, 684, 599, 577, 883
• LCM of 846, 782, 192, 703, 110
• LCM of 480, 665, 618, 317, 969
• LCM of 548, 573, 842, 957, 373
• LCM of 457, 177, 806, 529, 928

1. What is the LCM of 748, 103, 936, 334, 566?

Answer: LCM of 748, 103, 936, 334, 566 is 852035297256.

2. How to calculate the LCM of 748, 103, 936, 334, 566?

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 748, 103, 936, 334, 566.

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}.