Given numbers are 296,546,299,924,460

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

The LCM of 296,546,299,924,460 is 102222120.

Find LCM of 296,546,299,924,460 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 23 x 74 x 1 x 1 x 11 x 5 = 102222120

Therefore, the lowest common multiple of 296,546,299,924,460 is 102222120.

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.

296 x 546 x 299 x 924 x 460 = 20539286127360

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

299 : 1, 13, 23, 299

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,546,299,924,460, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

546:2x 3x 7x 13

299:13x 23

924:2x 2x 3x 7x 11

460:2x 2x 5x 23

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 3x 7x 13x 23 = 200928

Therefore, the value for common factors is 200928.

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 = 20539286127360/(1x200928)

LCM = 20539286127360/200928

LCM = 102222120

Thus, we can understand that the LCM of 296,546,299,924,460 is 102222120.

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

• LCM of 964, 135, 995, 883, 280
• LCM of 725, 693, 688, 272, 555
• LCM of 128, 693, 194, 800, 804
• LCM of 148, 281, 580, 188, 298
• LCM of 793, 947, 848, 890, 270

1. What is the LCM of 296, 546, 299, 924, 460?

Answer: LCM of 296, 546, 299, 924, 460 is 102222120.

2. How to calculate the LCM of 296, 546, 299, 924, 460?

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 296, 546, 299, 924, 460.

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}.