Given numbers are 414,383,528,391

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

The LCM of 414,383,528,391 is 237208752.

Find LCM of 414,383,528,391 with Prime Factorization

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

2 x 3 x 23 x 3 x 383 x 88 x 17 = 237208752

Therefore, the lowest common multiple of 414,383,528,391 is 237208752.

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.

414 x 383 x 528 x 391 = 32734807776

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.

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

383 : 1, 383

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,383,528,391, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

383:383

528:2x 2x 2x 2x 3x 11

391:17x 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 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 32734807776/(1x138)

LCM = 32734807776/138

LCM = 237208752

Thus, we can understand that the LCM of 414,383,528,391 is 237208752.

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

• LCM of 257, 489, 870, 737
• LCM of 368, 493, 748, 251
• LCM of 986, 146, 376, 701
• LCM of 630, 385, 210, 155
• LCM of 570, 721, 174, 138

1. What is the LCM of 414, 383, 528, 391?

Answer: LCM of 414, 383, 528, 391 is 237208752.

2. How to calculate the LCM of 414, 383, 528, 391?

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 414, 383, 528, 391.

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}.