Given numbers are 474,561,504,578,409

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

The LCM of 474,561,504,578,409 is 51769201176.

Find LCM of 474,561,504,578,409 with Prime Factorization

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

2 x 3 x 17 x 79 x 11 x 84 x 17 x 409 = 51769201176

Therefore, the lowest common multiple of 474,561,504,578,409 is 51769201176.

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.

474 x 561 x 504 x 578 x 409 = 31682751119712

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

561 : 1, 3, 11, 17, 33, 51, 187, 561

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

578 : 1, 2, 17, 34, 289, 578

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,561,504,578,409, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

561:3x 11x 17

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

578:2x 17x 17

409:409

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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 31682751119712/(1x612)

LCM = 31682751119712/612

LCM = 51769201176

Thus, we can understand that the LCM of 474,561,504,578,409 is 51769201176.

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

• LCM of 173, 622, 185, 680, 441
• LCM of 597, 870, 226, 954, 872
• LCM of 580, 857, 981, 671, 710
• LCM of 713, 833, 687, 235, 535
• LCM of 220, 517, 180, 380, 518

1. What is the LCM of 474, 561, 504, 578, 409?

Answer: LCM of 474, 561, 504, 578, 409 is 51769201176.

2. How to calculate the LCM of 474, 561, 504, 578, 409?

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 474, 561, 504, 578, 409.

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}.