Given numbers are 285,674,271,312

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

The LCM of 285,674,271,312 is 2706932280.

Find LCM of 285,674,271,312 with Prime Factorization

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

2 x 3 x 95 x 337 x 271 x 52 = 2706932280

Therefore, the lowest common multiple of 285,674,271,312 is 2706932280.

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.

285 x 674 x 271 x 312 = 16241593680

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.

285 : 1, 3, 5, 15, 19, 57, 95, 285

674 : 1, 2, 337, 674

271 : 1, 271

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,674,271,312, is 1.

Now, the common factors can be found like this.

285:3x 5x 19

674:2x 337

271:271

312:2x 2x 2x 3x 13

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 = 16241593680/(1x6)

LCM = 16241593680/6

LCM = 2706932280

Thus, we can understand that the LCM of 285,674,271,312 is 2706932280.

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

• LCM of 871, 410, 356, 161
• LCM of 796, 983, 769, 184
• LCM of 369, 818, 220, 440
• LCM of 759, 635, 462, 510
• LCM of 439, 742, 851, 486

1. What is the LCM of 285, 674, 271, 312?

Answer: LCM of 285, 674, 271, 312 is 2706932280.

2. How to calculate the LCM of 285, 674, 271, 312?

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 285, 674, 271, 312.

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}.