Given numbers are 488,137,742,226,772

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

The LCM of 488,137,742,226,772 is 540941188984.

Find LCM of 488,137,742,226,772 with Prime Factorization

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

2 x 2 x 122 x 137 x 371 x 113 x 193 = 540941188984

Therefore, the lowest common multiple of 488,137,742,226,772 is 540941188984.

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.

488 x 137 x 742 x 226 x 772 = 8655059023744

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

137 : 1, 137

742 : 1, 2, 7, 14, 53, 106, 371, 742

226 : 1, 2, 113, 226

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,137,742,226,772, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

137:137

742:2x 7x 53

226:2x 113

772:2x 2x 193

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8655059023744/(1x16)

LCM = 8655059023744/16

LCM = 540941188984

Thus, we can understand that the LCM of 488,137,742,226,772 is 540941188984.

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

• LCM of 183, 715, 392, 975, 433
• LCM of 997, 931, 200, 583, 508
• LCM of 365, 100, 211, 680, 643
• LCM of 970, 307, 303, 714, 186
• LCM of 726, 346, 211, 202, 866

1. What is the LCM of 488, 137, 742, 226, 772?

Answer: LCM of 488, 137, 742, 226, 772 is 540941188984.

2. How to calculate the LCM of 488, 137, 742, 226, 772?

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 488, 137, 742, 226, 772.

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}.