Given numbers are 395,264,172,924

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

The LCM of 395,264,172,924 is 31388280.

Find LCM of 395,264,172,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 395 x 2 x 43 x 7 = 31388280

Therefore, the lowest common multiple of 395,264,172,924 is 31388280.

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.

395 x 264 x 172 x 924 = 16573011840

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.

395 : 1, 5, 79, 395

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

172 : 1, 2, 4, 43, 86, 172

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,264,172,924, is 1.

Now, the common factors can be found like this.

395:5x 79

264:2x 2x 2x 3x 11

172:2x 2x 43

924:2x 2x 3x 7x 11

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 11 = 528

Therefore, the value for common factors is 528.

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 = 16573011840/(1x528)

LCM = 16573011840/528

LCM = 31388280

Thus, we can understand that the LCM of 395,264,172,924 is 31388280.

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

• LCM of 606, 563, 644, 981
• LCM of 339, 404, 198, 472
• LCM of 139, 842, 793, 368
• LCM of 566, 998, 341, 711
• LCM of 956, 704, 835, 466

1. What is the LCM of 395, 264, 172, 924?

Answer: LCM of 395, 264, 172, 924 is 31388280.

2. How to calculate the LCM of 395, 264, 172, 924?

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 395, 264, 172, 924.

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}.