Given numbers are 338,752,735,709,511

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

The LCM of 338,752,735,709,511 is 4834604807760.

Find LCM of 338,752,735,709,511 with Prime Factorization

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

2 x 7 x 169 x 376 x 105 x 709 x 73 = 4834604807760

Therefore, the lowest common multiple of 338,752,735,709,511 is 4834604807760.

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.

338 x 752 x 735 x 709 x 511 = 67684467308640

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.

338 : 1, 2, 13, 26, 169, 338

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

709 : 1, 709

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,752,735,709,511, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

752:2x 2x 2x 2x 47

735:3x 5x 7x 7

709:709

511:7x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 67684467308640/(1x14)

LCM = 67684467308640/14

LCM = 4834604807760

Thus, we can understand that the LCM of 338,752,735,709,511 is 4834604807760.

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

• LCM of 342, 509, 196, 981, 174
• LCM of 642, 935, 572, 421, 969
• LCM of 151, 205, 188, 822, 260
• LCM of 991, 106, 475, 371, 579
• LCM of 519, 518, 126, 540, 380

1. What is the LCM of 338, 752, 735, 709, 511?

Answer: LCM of 338, 752, 735, 709, 511 is 4834604807760.

2. How to calculate the LCM of 338, 752, 735, 709, 511?

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 338, 752, 735, 709, 511.

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}.