Given numbers are 748,341,872,132,559

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

The LCM of 748,341,872,132,559 is 8477208168.

Find LCM of 748,341,872,132,559 with Prime Factorization

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

2 x 2 x 11 x 17 x 31 x 218 x 3 x 559 = 8477208168

Therefore, the lowest common multiple of 748,341,872,132,559 is 8477208168.

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 341 x 872 x 132 x 559 = 16411875013248

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

341 : 1, 11, 31, 341

872 : 1, 2, 4, 8, 109, 218, 436, 872

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,341,872,132,559, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

341:11x 31

872:2x 2x 2x 109

132:2x 2x 3x 11

559:13x 43

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 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 16411875013248/(1x1936)

LCM = 16411875013248/1936

LCM = 8477208168

Thus, we can understand that the LCM of 748,341,872,132,559 is 8477208168.

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

• LCM of 809, 108, 797, 852, 369
• LCM of 369, 830, 139, 892, 884
• LCM of 209, 363, 807, 948, 501
• LCM of 743, 209, 632, 218, 851
• LCM of 937, 936, 298, 861, 551

1. What is the LCM of 748, 341, 872, 132, 559?

Answer: LCM of 748, 341, 872, 132, 559 is 8477208168.

2. How to calculate the LCM of 748, 341, 872, 132, 559?

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, 341, 872, 132, 559.

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}.