Given numbers are 420,278,305,857

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

The LCM of 420,278,305,857 is 3051931260.

Find LCM of 420,278,305,857 with Prime Factorization

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

2 x 5 x 42 x 139 x 61 x 857 = 3051931260

Therefore, the lowest common multiple of 420,278,305,857 is 3051931260.

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.

420 x 278 x 305 x 857 = 30519312600

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

278 : 1, 2, 139, 278

305 : 1, 5, 61, 305

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,278,305,857, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

278:2x 139

305:5x 61

857:857

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 30519312600/(1x10)

LCM = 30519312600/10

LCM = 3051931260

Thus, we can understand that the LCM of 420,278,305,857 is 3051931260.

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

• LCM of 296, 282, 627, 574
• LCM of 691, 500, 497, 922
• LCM of 857, 845, 307, 628
• LCM of 544, 659, 856, 682
• LCM of 700, 396, 574, 668

1. What is the LCM of 420, 278, 305, 857?

Answer: LCM of 420, 278, 305, 857 is 3051931260.

2. How to calculate the LCM of 420, 278, 305, 857?

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 420, 278, 305, 857.

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}.