Given numbers are 548,214,413,693,944

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

The LCM of 548,214,413,693,944 is 9589800528.

Find LCM of 548,214,413,693,944 with Prime Factorization

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

2 x 2 x 7 x 59 x 137 x 107 x 1 x 99 x 4 = 9589800528

Therefore, the lowest common multiple of 548,214,413,693,944 is 9589800528.

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.

548 x 214 x 413 x 693 x 944 = 31684700944512

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.

548 : 1, 2, 4, 137, 274, 548

214 : 1, 2, 107, 214

413 : 1, 7, 59, 413

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,214,413,693,944, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

214:2x 107

413:7x 59

693:3x 3x 7x 11

944:2x 2x 2x 2x 59

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 7x 59 = 3304

Therefore, the value for common factors is 3304.

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 = 31684700944512/(1x3304)

LCM = 31684700944512/3304

LCM = 9589800528

Thus, we can understand that the LCM of 548,214,413,693,944 is 9589800528.

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

• LCM of 124, 614, 586, 741, 908
• LCM of 537, 565, 641, 873, 747
• LCM of 267, 771, 477, 534, 468
• LCM of 791, 867, 964, 545, 317
• LCM of 295, 198, 691, 987, 814

1. What is the LCM of 548, 214, 413, 693, 944?

Answer: LCM of 548, 214, 413, 693, 944 is 9589800528.

2. How to calculate the LCM of 548, 214, 413, 693, 944?

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 548, 214, 413, 693, 944.

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}.