Given numbers are 460,554,924,392

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

The LCM of 460,554,924,392 is 412076280.

Find LCM of 460,554,924,392 with Prime Factorization

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

2 x 2 x 7 x 115 x 277 x 33 x 14 = 412076280

Therefore, the lowest common multiple of 460,554,924,392 is 412076280.

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.

460 x 554 x 924 x 392 = 92305086720

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.

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

554 : 1, 2, 277, 554

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

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,554,924,392, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

554:2x 277

924:2x 2x 3x 7x 11

392:2x 2x 2x 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 7 = 112

Therefore, the value for common factors is 112.

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 = 92305086720/(2x112)

LCM = 92305086720/224

LCM = 412076280

Thus, we can understand that the LCM of 460,554,924,392 is 412076280.

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

• LCM of 618, 817, 441, 622
• LCM of 678, 990, 156, 446
• LCM of 517, 585, 609, 549
• LCM of 608, 734, 125, 362
• LCM of 265, 612, 670, 483

1. What is the LCM of 460, 554, 924, 392?

Answer: LCM of 460, 554, 924, 392 is 412076280.

2. How to calculate the LCM of 460, 554, 924, 392?

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 460, 554, 924, 392.

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}.