Given numbers are 303,279,552,337,460

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

The LCM of 303,279,552,337,460 is 8736617160.

Find LCM of 303,279,552,337,460 with Prime Factorization

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

2 x 2 x 3 x 23 x 101 x 93 x 2 x 337 x 5 = 8736617160

Therefore, the lowest common multiple of 303,279,552,337,460 is 8736617160.

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.

303 x 279 x 552 x 337 x 460 = 7233919008480

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.

303 : 1, 3, 101, 303

279 : 1, 3, 9, 31, 93, 279

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

337 : 1, 337

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 303,279,552,337,460, is 1.

Now, the common factors can be found like this.

303:3x 101

279:3x 3x 31

552:2x 2x 2x 3x 23

337:337

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 3x 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 7233919008480/(1x828)

LCM = 7233919008480/828

LCM = 8736617160

Thus, we can understand that the LCM of 303,279,552,337,460 is 8736617160.

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

• LCM of 266, 297, 291, 821, 251
• LCM of 782, 492, 177, 703, 679
• LCM of 334, 509, 954, 818, 194
• LCM of 288, 711, 456, 800, 839
• LCM of 351, 945, 736, 380, 429

1. What is the LCM of 303, 279, 552, 337, 460?

Answer: LCM of 303, 279, 552, 337, 460 is 8736617160.

2. How to calculate the LCM of 303, 279, 552, 337, 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 303, 279, 552, 337, 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}.