Given numbers are 626,564,342,240,828

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

The LCM of 626,564,342,240,828 is 4628669040.

Find LCM of 626,564,342,240,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 313 x 47 x 19 x 20 x 23 = 4628669040

Therefore, the lowest common multiple of 626,564,342,240,828 is 4628669040.

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.

626 x 564 x 342 x 240 x 828 = 23995020303360

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.

626 : 1, 2, 313, 626

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,564,342,240,828, is 2.

Now, the common factors can be found like this.

626:2x 313

564:2x 2x 3x 47

342:2x 3x 3x 19

240:2x 2x 2x 2x 3x 5

828:2x 2x 3x 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 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 23995020303360/(2x2592)

LCM = 23995020303360/5184

LCM = 4628669040

Thus, we can understand that the LCM of 626,564,342,240,828 is 4628669040.

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

• LCM of 721, 847, 310, 653, 361
• LCM of 315, 507, 867, 793, 367
• LCM of 340, 603, 597, 166, 939
• LCM of 890, 705, 563, 723, 293
• LCM of 382, 360, 248, 416, 988

1. What is the LCM of 626, 564, 342, 240, 828?

Answer: LCM of 626, 564, 342, 240, 828 is 4628669040.

2. How to calculate the LCM of 626, 564, 342, 240, 828?

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 626, 564, 342, 240, 828.

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}.