Given numbers are 498,904,345,203,240

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

The LCM of 498,904,345,203,240 is 10509732240.

Find LCM of 498,904,345,203,240 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 83 x 113 x 23 x 203 x 2 = 10509732240

Therefore, the lowest common multiple of 498,904,345,203,240 is 10509732240.

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 904 x 345 x 203 x 240 = 7567007212800

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

904 : 1, 2, 4, 8, 113, 226, 452, 904

345 : 1, 3, 5, 15, 23, 69, 115, 345

203 : 1, 7, 29, 203

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,904,345,203,240, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

904:2x 2x 2x 113

345:3x 5x 23

203:7x 29

240:2x 2x 2x 2x 3x 5

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 7567007212800/(1x720)

LCM = 7567007212800/720

LCM = 10509732240

Thus, we can understand that the LCM of 498,904,345,203,240 is 10509732240.

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

• LCM of 219, 696, 650, 690, 588
• LCM of 892, 783, 280, 583, 775
• LCM of 402, 796, 680, 617, 103
• LCM of 554, 608, 200, 329, 825
• LCM of 701, 580, 673, 982, 512

1. What is the LCM of 498, 904, 345, 203, 240?

Answer: LCM of 498, 904, 345, 203, 240 is 10509732240.

2. How to calculate the LCM of 498, 904, 345, 203, 240?

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, 904, 345, 203, 240.

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}.