Given numbers are 552,440,274,649,406

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

The LCM of 552,440,274,649,406 is 49816175640.

Find LCM of 552,440,274,649,406 with Prime Factorization

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

2 x 2 x 2 x 11 x 69 x 5 x 137 x 59 x 203 = 49816175640

Therefore, the lowest common multiple of 552,440,274,649,406 is 49816175640.

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 440 x 274 x 649 x 406 = 17535293825280

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

274 : 1, 2, 137, 274

649 : 1, 11, 59, 649

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,440,274,649,406, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

440:2x 2x 2x 5x 11

274:2x 137

649:11x 59

406:2x 7x 29

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 11 = 352

Therefore, the value for common factors is 352.

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 = 17535293825280/(1x352)

LCM = 17535293825280/352

LCM = 49816175640

Thus, we can understand that the LCM of 552,440,274,649,406 is 49816175640.

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

• LCM of 751, 670, 317, 139, 435
• LCM of 399, 379, 387, 625, 735
• LCM of 848, 886, 493, 577, 854
• LCM of 591, 887, 387, 193, 648
• LCM of 825, 868, 336, 867, 630

1. What is the LCM of 552, 440, 274, 649, 406?

Answer: LCM of 552, 440, 274, 649, 406 is 49816175640.

2. How to calculate the LCM of 552, 440, 274, 649, 406?

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, 440, 274, 649, 406.

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}.