Given numbers are 409,648,740,374,504

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

The LCM of 409,648,740,374,504 is 64181474280.

Find LCM of 409,648,740,374,504 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 409 x 9 x 185 x 187 x 7 = 64181474280

Therefore, the lowest common multiple of 409,648,740,374,504 is 64181474280.

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.

409 x 648 x 740 x 374 x 504 = 36968529185280

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.

409 : 1, 409

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

374 : 1, 2, 11, 17, 22, 34, 187, 374

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,648,740,374,504, is 1.

Now, the common factors can be found like this.

409:409

648:2x 2x 2x 3x 3x 3x 3

740:2x 2x 5x 37

374:2x 11x 17

504:2x 2x 2x 3x 3x 7

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 36968529185280/(1x576)

LCM = 36968529185280/576

LCM = 64181474280

Thus, we can understand that the LCM of 409,648,740,374,504 is 64181474280.

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

• LCM of 649, 266, 248, 764, 920
• LCM of 648, 653, 354, 806, 925
• LCM of 438, 894, 106, 330, 493
• LCM of 816, 621, 241, 919, 289
• LCM of 383, 848, 998, 621, 629

1. What is the LCM of 409, 648, 740, 374, 504?

Answer: LCM of 409, 648, 740, 374, 504 is 64181474280.

2. How to calculate the LCM of 409, 648, 740, 374, 504?

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 409, 648, 740, 374, 504.

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}.