Given numbers are 544,943,447,414,709

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

The LCM of 544,943,447,414,709 is 487736890848.

Find LCM of 544,943,447,414,709 with Prime Factorization

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

2 x 3 x 23 x 272 x 41 x 149 x 3 x 709 = 487736890848

Therefore, the lowest common multiple of 544,943,447,414,709 is 487736890848.

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.

544 x 943 x 447 x 414 x 709 = 67307690937024

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

943 : 1, 23, 41, 943

447 : 1, 3, 149, 447

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

709 : 1, 709

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,943,447,414,709, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

943:23x 41

447:3x 149

414:2x 3x 3x 23

709:709

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 67307690937024/(1x138)

LCM = 67307690937024/138

LCM = 487736890848

Thus, we can understand that the LCM of 544,943,447,414,709 is 487736890848.

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

• LCM of 933, 774, 591, 397, 345
• LCM of 478, 960, 935, 810, 908
• LCM of 138, 762, 423, 362, 258
• LCM of 524, 787, 963, 915, 864
• LCM of 568, 786, 773, 145, 392

1. What is the LCM of 544, 943, 447, 414, 709?

Answer: LCM of 544, 943, 447, 414, 709 is 487736890848.

2. How to calculate the LCM of 544, 943, 447, 414, 709?

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 544, 943, 447, 414, 709.

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}.