Given numbers are 924,122,424,271,546

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

The LCM of 924,122,424,271,546 is 21048459432.

Find LCM of 924,122,424,271,546 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 61 x 106 x 271 x 13 = 21048459432

Therefore, the lowest common multiple of 924,122,424,271,546 is 21048459432.

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.

924 x 122 x 424 x 271 x 546 = 7072282369152

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

122 : 1, 2, 61, 122

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

271 : 1, 271

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,122,424,271,546, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

122:2x 61

424:2x 2x 2x 53

271:271

546:2x 3x 7x 13

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 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 7072282369152/(1x336)

LCM = 7072282369152/336

LCM = 21048459432

Thus, we can understand that the LCM of 924,122,424,271,546 is 21048459432.

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

• LCM of 762, 217, 643, 791, 233
• LCM of 589, 962, 873, 203, 293
• LCM of 240, 153, 920, 201, 745
• LCM of 188, 792, 732, 861, 391
• LCM of 717, 375, 750, 184, 441

1. What is the LCM of 924, 122, 424, 271, 546?

Answer: LCM of 924, 122, 424, 271, 546 is 21048459432.

2. How to calculate the LCM of 924, 122, 424, 271, 546?

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 924, 122, 424, 271, 546.

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}.