Given numbers are 460,214,234,946,286

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

The LCM of 460,214,234,946,286 is 2723884020.

Find LCM of 460,214,234,946,286 with Prime Factorization

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

2 x 11 x 13 x 230 x 107 x 9 x 43 x 1 = 2723884020

Therefore, the lowest common multiple of 460,214,234,946,286 is 2723884020.

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 214 x 234 x 946 x 286 = 6232246637760

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

214 : 1, 2, 107, 214

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

946 : 1, 2, 11, 22, 43, 86, 473, 946

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,214,234,946,286, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

214:2x 107

234:2x 3x 3x 13

946:2x 11x 43

286:2x 11x 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 2x 2x 11x 13 = 1144

Therefore, the value for common factors is 1144.

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 = 6232246637760/(2x1144)

LCM = 6232246637760/2288

LCM = 2723884020

Thus, we can understand that the LCM of 460,214,234,946,286 is 2723884020.

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

• LCM of 451, 328, 708, 884, 636
• LCM of 714, 592, 146, 117, 997
• LCM of 480, 509, 485, 496, 689
• LCM of 950, 963, 726, 904, 482
• LCM of 895, 636, 335, 554, 701

1. What is the LCM of 460, 214, 234, 946, 286?

Answer: LCM of 460, 214, 234, 946, 286 is 2723884020.

2. How to calculate the LCM of 460, 214, 234, 946, 286?

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, 214, 234, 946, 286.

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}.