Given numbers are 552,726,214,675,226

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

The LCM of 552,726,214,675,226 is 181705966200.

Find LCM of 552,726,214,675,226 with Prime Factorization

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

2 x 3 x 92 x 121 x 107 x 225 x 113 = 181705966200

Therefore, the lowest common multiple of 552,726,214,675,226 is 181705966200.

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.

552 x 726 x 214 x 675 x 226 = 13082829566400

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.

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

214 : 1, 2, 107, 214

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,726,214,675,226, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

726:2x 3x 11x 11

214:2x 107

675:3x 3x 3x 5x 5

226:2x 113

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 13082829566400/(1x72)

LCM = 13082829566400/72

LCM = 181705966200

Thus, we can understand that the LCM of 552,726,214,675,226 is 181705966200.

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

• LCM of 242, 434, 725, 597, 511
• LCM of 156, 152, 606, 561, 910
• LCM of 193, 231, 840, 192, 906
• LCM of 407, 219, 258, 608, 163
• LCM of 884, 651, 558, 471, 660

1. What is the LCM of 552, 726, 214, 675, 226?

Answer: LCM of 552, 726, 214, 675, 226 is 181705966200.

2. How to calculate the LCM of 552, 726, 214, 675, 226?

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 552, 726, 214, 675, 226.

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}.