Given numbers are 498,808,101,952,460

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

The LCM of 498,808,101,952,460 is 2753312520.

Find LCM of 498,808,101,952,460 with Prime Factorization

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

2 x 2 x 2 x 101 x 249 x 1 x 1 x 119 x 115 = 2753312520

Therefore, the lowest common multiple of 498,808,101,952,460 is 2753312520.

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 808 x 101 x 952 x 460 = 17797412129280

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

808 : 1, 2, 4, 8, 101, 202, 404, 808

101 : 1, 101

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,808,101,952,460, is 1.

Now, the common factors can be found like this.

498:2x 3x 83

808:2x 2x 2x 101

101:101

952:2x 2x 2x 7x 17

460:2x 2x 5x 23

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 2x 101 = 6464

Therefore, the value for common factors is 6464.

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 = 17797412129280/(1x6464)

LCM = 17797412129280/6464

LCM = 2753312520

Thus, we can understand that the LCM of 498,808,101,952,460 is 2753312520.

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

• LCM of 497, 320, 773, 969, 955
• LCM of 922, 137, 102, 127, 796
• LCM of 292, 556, 620, 228, 369
• LCM of 639, 935, 371, 809, 644
• LCM of 566, 385, 761, 282, 655

1. What is the LCM of 498, 808, 101, 952, 460?

Answer: LCM of 498, 808, 101, 952, 460 is 2753312520.

2. How to calculate the LCM of 498, 808, 101, 952, 460?

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, 808, 101, 952, 460.

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}.