Given numbers are 498,856,748,228,525

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

The LCM of 498,856,748,228,525 is 132527610600.

Find LCM of 498,856,748,228,525 with Prime Factorization

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

2 x 2 x 3 x 83 x 214 x 187 x 19 x 175 = 132527610600

Therefore, the lowest common multiple of 498,856,748,228,525 is 132527610600.

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 856 x 748 x 228 x 525 = 38167951852800

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,856,748,228,525, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

856:2x 2x 2x 107

748:2x 2x 11x 17

228:2x 2x 3x 19

525:3x 5x 5x 7

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 3 = 288

Therefore, the value for common factors is 288.

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 = 38167951852800/(1x288)

LCM = 38167951852800/288

LCM = 132527610600

Thus, we can understand that the LCM of 498,856,748,228,525 is 132527610600.

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

• LCM of 209, 992, 932, 284, 266
• LCM of 620, 317, 571, 195, 550
• LCM of 388, 587, 109, 394, 178
• LCM of 639, 558, 405, 136, 967
• LCM of 732, 992, 783, 670, 561

1. What is the LCM of 498, 856, 748, 228, 525?

Answer: LCM of 498, 856, 748, 228, 525 is 132527610600.

2. How to calculate the LCM of 498, 856, 748, 228, 525?

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, 856, 748, 228, 525.

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}.