Given numbers are 226,581,349,507,747

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

The LCM of 226,581,349,507,747 is 69701032674.

Find LCM of 226,581,349,507,747 with Prime Factorization

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

3 x 83 x 226 x 7 x 349 x 169 x 3 = 69701032674

Therefore, the lowest common multiple of 226,581,349,507,747 is 69701032674.

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.

226 x 581 x 349 x 507 x 747 = 17355557135826

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.

226 : 1, 2, 113, 226

581 : 1, 7, 83, 581

349 : 1, 349

507 : 1, 3, 13, 39, 169, 507

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,581,349,507,747, is 1.

Now, the common factors can be found like this.

226:2x 113

581:7x 83

349:349

507:3x 13x 13

747:3x 3x 83

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

3x 83 = 249

Therefore, the value for common factors is 249.

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 = 17355557135826/(1x249)

LCM = 17355557135826/249

LCM = 69701032674

Thus, we can understand that the LCM of 226,581,349,507,747 is 69701032674.

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

• LCM of 257, 923, 381, 743, 153
• LCM of 397, 114, 919, 234, 184
• LCM of 906, 499, 605, 614, 460
• LCM of 151, 149, 720, 669, 810
• LCM of 829, 211, 724, 593, 520

1. What is the LCM of 226, 581, 349, 507, 747?

Answer: LCM of 226, 581, 349, 507, 747 is 69701032674.

2. How to calculate the LCM of 226, 581, 349, 507, 747?

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 226, 581, 349, 507, 747.

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}.