Given numbers are 364,551,414,734,739

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

The LCM of 364,551,414,734,739 is 11259881775324.

Find LCM of 364,551,414,734,739 with Prime Factorization

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

2 x 182 x 551 x 207 x 367 x 739 = 11259881775324

Therefore, the lowest common multiple of 364,551,414,734,739 is 11259881775324.

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.

364 x 551 x 414 x 734 x 739 = 45039527101296

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

551 : 1, 19, 29, 551

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

734 : 1, 2, 367, 734

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,551,414,734,739, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

551:19x 29

414:2x 3x 3x 23

734:2x 367

739:739

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 45039527101296/(1x4)

LCM = 45039527101296/4

LCM = 11259881775324

Thus, we can understand that the LCM of 364,551,414,734,739 is 11259881775324.

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

• LCM of 466, 295, 652, 468, 192
• LCM of 775, 126, 212, 214, 229
• LCM of 404, 684, 912, 806, 671
• LCM of 278, 474, 829, 604, 498
• LCM of 663, 743, 109, 477, 507

1. What is the LCM of 364, 551, 414, 734, 739?

Answer: LCM of 364, 551, 414, 734, 739 is 11259881775324.

2. How to calculate the LCM of 364, 551, 414, 734, 739?

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 364, 551, 414, 734, 739.

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}.