Given numbers are 347,621,728,368,552

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

The LCM of 347,621,728,368,552 is 313749072.

Find LCM of 347,621,728,368,552 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 347 x 9 x 91 x 2 x 1 = 313749072

Therefore, the lowest common multiple of 347,621,728,368,552 is 313749072.

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.

347 x 621 x 728 x 368 x 552 = 31866865744896

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.

347 : 1, 347

621 : 1, 3, 9, 23, 27, 69, 207, 621

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,621,728,368,552, is 1.

Now, the common factors can be found like this.

347:347

621:3x 3x 3x 23

728:2x 2x 2x 7x 13

368:2x 2x 2x 2x 23

552:2x 2x 2x 3x 23

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 2x 2x 3x 23x 23 = 101568

Therefore, the value for common factors is 101568.

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 = 31866865744896/(1x101568)

LCM = 31866865744896/101568

LCM = 313749072

Thus, we can understand that the LCM of 347,621,728,368,552 is 313749072.

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

• LCM of 320, 587, 598, 822, 965
• LCM of 675, 864, 766, 358, 479
• LCM of 215, 438, 864, 832, 159
• LCM of 696, 910, 849, 167, 339
• LCM of 212, 174, 830, 663, 632

1. What is the LCM of 347, 621, 728, 368, 552?

Answer: LCM of 347, 621, 728, 368, 552 is 313749072.

2. How to calculate the LCM of 347, 621, 728, 368, 552?

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 347, 621, 728, 368, 552.

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}.