Given numbers are 246,466,284,214

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

The LCM of 246,466,284,214 is 870889692.

Find LCM of 246,466,284,214 with Prime Factorization

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

2 x 123 x 233 x 142 x 107 = 870889692

Therefore, the lowest common multiple of 246,466,284,214 is 870889692.

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.

246 x 466 x 284 x 214 = 6967117536

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

466 : 1, 2, 233, 466

284 : 1, 2, 4, 71, 142, 284

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,466,284,214, is 2.

Now, the common factors can be found like this.

246:2x 3x 41

466:2x 233

284:2x 2x 71

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6967117536/(2x4)

LCM = 6967117536/8

LCM = 870889692

Thus, we can understand that the LCM of 246,466,284,214 is 870889692.

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

• LCM of 144, 687, 984, 638
• LCM of 478, 798, 767, 879
• LCM of 100, 953, 175, 152
• LCM of 459, 916, 857, 658
• LCM of 271, 193, 564, 746

1. What is the LCM of 246, 466, 284, 214?

Answer: LCM of 246, 466, 284, 214 is 870889692.

2. How to calculate the LCM of 246, 466, 284, 214?

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 246, 466, 284, 214.

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}.