Given numbers are 705,568,497,226

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

The LCM of 705,568,497,226 is 316748040.

Find LCM of 705,568,497,226 with Prime Factorization

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

2 x 71 x 705 x 4 x 7 x 113 = 316748040

Therefore, the lowest common multiple of 705,568,497,226 is 316748040.

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.

705 x 568 x 497 x 226 = 44978221680

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

568 : 1, 2, 4, 8, 71, 142, 284, 568

497 : 1, 7, 71, 497

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,568,497,226, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

568:2x 2x 2x 71

497:7x 71

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 71 = 142

Therefore, the value for common factors is 142.

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 = 44978221680/(1x142)

LCM = 44978221680/142

LCM = 316748040

Thus, we can understand that the LCM of 705,568,497,226 is 316748040.

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

• LCM of 383, 349, 998, 154
• LCM of 538, 824, 475, 648
• LCM of 753, 811, 933, 651
• LCM of 712, 256, 725, 533
• LCM of 359, 770, 613, 347

1. What is the LCM of 705, 568, 497, 226?

Answer: LCM of 705, 568, 497, 226 is 316748040.

2. How to calculate the LCM of 705, 568, 497, 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 705, 568, 497, 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}.