Given numbers are 441,383,750,418,828

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

The LCM of 441,383,750,418,828 is 405958360500.

Find LCM of 441,383,750,418,828 with Prime Factorization

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

2 x 3 x 3 x 49 x 383 x 125 x 209 x 46 = 405958360500

Therefore, the lowest common multiple of 441,383,750,418,828 is 405958360500.

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.

441 x 383 x 750 x 418 x 828 = 43843502934000

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.

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

383 : 1, 383

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

418 : 1, 2, 11, 19, 22, 38, 209, 418

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,383,750,418,828, is 1.

Now, the common factors can be found like this.

441:3x 3x 7x 7

383:383

750:2x 3x 5x 5x 5

418:2x 11x 19

828:2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 43843502934000/(1x108)

LCM = 43843502934000/108

LCM = 405958360500

Thus, we can understand that the LCM of 441,383,750,418,828 is 405958360500.

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

• LCM of 570, 219, 365, 969, 107
• LCM of 462, 766, 959, 555, 682
• LCM of 734, 941, 945, 610, 393
• LCM of 938, 920, 921, 705, 267
• LCM of 941, 335, 898, 987, 136

1. What is the LCM of 441, 383, 750, 418, 828?

Answer: LCM of 441, 383, 750, 418, 828 is 405958360500.

2. How to calculate the LCM of 441, 383, 750, 418, 828?

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 441, 383, 750, 418, 828.

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}.