Given numbers are 498,252,900,941,296

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

The LCM of 498,252,900,941,296 is 36411618600.

Find LCM of 498,252,900,941,296 with Prime Factorization

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

2 x 2 x 3 x 3 x 83 x 7 x 25 x 941 x 74 = 36411618600

Therefore, the lowest common multiple of 498,252,900,941,296 is 36411618600.

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.

498 x 252 x 900 x 941 x 296 = 31459638470400

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.

498 : 1, 2, 3, 6, 83, 166, 249, 498

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

941 : 1, 941

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,252,900,941,296, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

252:2x 2x 3x 3x 7

900:2x 2x 3x 3x 5x 5

941:941

296:2x 2x 2x 37

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 3 = 864

Therefore, the value for common factors is 864.

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 = 31459638470400/(1x864)

LCM = 31459638470400/864

LCM = 36411618600

Thus, we can understand that the LCM of 498,252,900,941,296 is 36411618600.

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

• LCM of 408, 269, 819, 419, 894
• LCM of 989, 731, 701, 366, 708
• LCM of 114, 369, 924, 365, 324
• LCM of 735, 179, 610, 487, 301
• LCM of 420, 552, 695, 835, 766

1. What is the LCM of 498, 252, 900, 941, 296?

Answer: LCM of 498, 252, 900, 941, 296 is 36411618600.

2. How to calculate the LCM of 498, 252, 900, 941, 296?

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 498, 252, 900, 941, 296.

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}.