Given numbers are 264,964,272,924,343

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

The LCM of 264,964,272,924,343 is 741983088.

Find LCM of 264,964,272,924,343 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 11 x 1 x 241 x 34 x 1 x 49 = 741983088

Therefore, the lowest common multiple of 264,964,272,924,343 is 741983088.

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.

264 x 964 x 272 x 924 x 343 = 21938955945984

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

964 : 1, 2, 4, 241, 482, 964

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,964,272,924,343, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

964:2x 2x 241

272:2x 2x 2x 2x 17

924:2x 2x 3x 7x 11

343:7x 7x 7

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 2x 3x 7x 11 = 29568

Therefore, the value for common factors is 29568.

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 = 21938955945984/(1x29568)

LCM = 21938955945984/29568

LCM = 741983088

Thus, we can understand that the LCM of 264,964,272,924,343 is 741983088.

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

• LCM of 920, 266, 355, 848, 154
• LCM of 855, 696, 575, 492, 126
• LCM of 947, 691, 510, 264, 244
• LCM of 741, 456, 764, 712, 401
• LCM of 316, 294, 241, 841, 941

1. What is the LCM of 264, 964, 272, 924, 343?

Answer: LCM of 264, 964, 272, 924, 343 is 741983088.

2. How to calculate the LCM of 264, 964, 272, 924, 343?

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 264, 964, 272, 924, 343.

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}.