Given numbers are 484,438,528,750,404

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

The LCM of 484,438,528,750,404 is 5352798000.

Find LCM of 484,438,528,750,404 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 73 x 4 x 125 x 101 = 5352798000

Therefore, the lowest common multiple of 484,438,528,750,404 is 5352798000.

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.

484 x 438 x 528 x 750 x 404 = 33915328128000

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

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

404 : 1, 2, 4, 101, 202, 404

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,438,528,750,404, is 2.

Now, the common factors can be found like this.

484:2x 2x 11x 11

438:2x 3x 73

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

750:2x 3x 5x 5x 5

404:2x 2x 101

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 2x 2x 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 33915328128000/(2x3168)

LCM = 33915328128000/6336

LCM = 5352798000

Thus, we can understand that the LCM of 484,438,528,750,404 is 5352798000.

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

• LCM of 983, 542, 634, 371, 962
• LCM of 379, 461, 149, 917, 563
• LCM of 758, 559, 233, 329, 141
• LCM of 322, 700, 288, 324, 554
• LCM of 702, 886, 611, 976, 437

1. What is the LCM of 484, 438, 528, 750, 404?

Answer: LCM of 484, 438, 528, 750, 404 is 5352798000.

2. How to calculate the LCM of 484, 438, 528, 750, 404?

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 484, 438, 528, 750, 404.

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}.