Given numbers are 578,537,974,353,409

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

The LCM of 578,537,974,353,409 is 21823735967214.

Find LCM of 578,537,974,353,409 with Prime Factorization

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

2 x 289 x 537 x 487 x 353 x 409 = 21823735967214

Therefore, the lowest common multiple of 578,537,974,353,409 is 21823735967214.

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.

578 x 537 x 974 x 353 x 409 = 43647471934428

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.

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

537 : 1, 3, 179, 537

974 : 1, 2, 487, 974

353 : 1, 353

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,537,974,353,409, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

537:3x 179

974:2x 487

353:353

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 43647471934428/(1x2)

LCM = 43647471934428/2

LCM = 21823735967214

Thus, we can understand that the LCM of 578,537,974,353,409 is 21823735967214.

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

• LCM of 323, 494, 924, 450, 840
• LCM of 842, 898, 684, 104, 538
• LCM of 896, 361, 143, 385, 875
• LCM of 971, 482, 818, 577, 282
• LCM of 533, 789, 956, 408, 272

1. What is the LCM of 578, 537, 974, 353, 409?

Answer: LCM of 578, 537, 974, 353, 409 is 21823735967214.

2. How to calculate the LCM of 578, 537, 974, 353, 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 578, 537, 974, 353, 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}.