Given numbers are 312,449,630,353

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

The LCM of 312,449,630,353 is 5192361720.

Find LCM of 312,449,630,353 with Prime Factorization

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

2 x 3 x 52 x 449 x 105 x 353 = 5192361720

Therefore, the lowest common multiple of 312,449,630,353 is 5192361720.

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.

312 x 449 x 630 x 353 = 31154170320

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

449 : 1, 449

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,449,630,353, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

449:449

630:2x 3x 3x 5x 7

353:353

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31154170320/(1x6)

LCM = 31154170320/6

LCM = 5192361720

Thus, we can understand that the LCM of 312,449,630,353 is 5192361720.

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

• LCM of 257, 682, 455, 760
• LCM of 189, 978, 666, 308
• LCM of 654, 788, 259, 198
• LCM of 662, 958, 814, 289
• LCM of 147, 266, 291, 361

1. What is the LCM of 312, 449, 630, 353?

Answer: LCM of 312, 449, 630, 353 is 5192361720.

2. How to calculate the LCM of 312, 449, 630, 353?

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 312, 449, 630, 353.

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}.