Given numbers are 498,415,656,634

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

The LCM of 498,415,656,634 is 258900240.

Find LCM of 498,415,656,634 with Prime Factorization

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

2 x 83 x 3 x 5 x 328 x 317 = 258900240

Therefore, the lowest common multiple of 498,415,656,634 is 258900240.

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 415 x 656 x 634 = 85954879680

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

415 : 1, 5, 83, 415

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,415,656,634, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

415:5x 83

656:2x 2x 2x 2x 41

634:2x 317

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 83 = 332

Therefore, the value for common factors is 332.

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 = 85954879680/(1x332)

LCM = 85954879680/332

LCM = 258900240

Thus, we can understand that the LCM of 498,415,656,634 is 258900240.

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

• LCM of 179, 972, 553, 729
• LCM of 531, 210, 392, 404
• LCM of 276, 937, 143, 113
• LCM of 796, 269, 901, 968
• LCM of 278, 859, 650, 790

1. What is the LCM of 498, 415, 656, 634?

Answer: LCM of 498, 415, 656, 634 is 258900240.

2. How to calculate the LCM of 498, 415, 656, 634?

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, 415, 656, 634.

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}.