Given numbers are 424,546,416,412,394

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

The LCM of 424,546,416,412,394 is 9394895328.

Find LCM of 424,546,416,412,394 with Prime Factorization

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

2 x 2 x 2 x 13 x 53 x 21 x 4 x 103 x 197 = 9394895328

Therefore, the lowest common multiple of 424,546,416,412,394 is 9394895328.

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.

424 x 546 x 416 x 412 x 394 = 15633105825792

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

412 : 1, 2, 4, 103, 206, 412

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,546,416,412,394, is 2.

Now, the common factors can be found like this.

424:2x 2x 2x 53

546:2x 3x 7x 13

416:2x 2x 2x 2x 2x 13

412:2x 2x 103

394:2x 197

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 13 = 832

Therefore, the value for common factors is 832.

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 = 15633105825792/(2x832)

LCM = 15633105825792/1664

LCM = 9394895328

Thus, we can understand that the LCM of 424,546,416,412,394 is 9394895328.

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

• LCM of 991, 928, 965, 336, 279
• LCM of 167, 351, 153, 890, 174
• LCM of 874, 822, 763, 524, 583
• LCM of 206, 322, 722, 849, 365
• LCM of 469, 205, 569, 986, 312

1. What is the LCM of 424, 546, 416, 412, 394?

Answer: LCM of 424, 546, 416, 412, 394 is 9394895328.

2. How to calculate the LCM of 424, 546, 416, 412, 394?

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 424, 546, 416, 412, 394.

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}.