Given numbers are 958,466,506,414

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

The LCM of 958,466,506,414 is 508258278.

Find LCM of 958,466,506,414 with Prime Factorization

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

2 x 23 x 479 x 233 x 11 x 9 = 508258278

Therefore, the lowest common multiple of 958,466,506,414 is 508258278.

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.

958 x 466 x 506 x 414 = 93519523152

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.

958 : 1, 2, 479, 958

466 : 1, 2, 233, 466

506 : 1, 2, 11, 22, 23, 46, 253, 506

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,466,506,414, is 2.

Now, the common factors can be found like this.

958:2x 479

466:2x 233

506:2x 11x 23

414:2x 3x 3x 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 23 = 92

Therefore, the value for common factors is 92.

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 = 93519523152/(2x92)

LCM = 93519523152/184

LCM = 508258278

Thus, we can understand that the LCM of 958,466,506,414 is 508258278.

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

• LCM of 369, 978, 427, 307
• LCM of 436, 429, 504, 730
• LCM of 533, 918, 841, 729
• LCM of 378, 708, 132, 428
• LCM of 915, 692, 450, 238

1. What is the LCM of 958, 466, 506, 414?

Answer: LCM of 958, 466, 506, 414 is 508258278.

2. How to calculate the LCM of 958, 466, 506, 414?

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 958, 466, 506, 414.

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}.