Given numbers are 565,413,113,498

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

The LCM of 565,413,113,498 is 116205810.

Find LCM of 565,413,113,498 with Prime Factorization

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

113 x 5 x 413 x 1 x 498 = 116205810

Therefore, the lowest common multiple of 565,413,113,498 is 116205810.

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.

565 x 413 x 113 x 498 = 13131256530

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.

565 : 1, 5, 113, 565

413 : 1, 7, 59, 413

113 : 1, 113

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,413,113,498, is 1.

Now, the common factors can be found like this.

565:5x 113

413:7x 59

113:113

498:2x 3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

113 = 113

Therefore, the value for common factors is 113.

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 = 13131256530/(1x113)

LCM = 13131256530/113

LCM = 116205810

Thus, we can understand that the LCM of 565,413,113,498 is 116205810.

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

• LCM of 459, 957, 338, 841
• LCM of 508, 439, 425, 979
• LCM of 215, 451, 891, 213
• LCM of 818, 657, 466, 137
• LCM of 852, 399, 519, 908

1. What is the LCM of 565, 413, 113, 498?

Answer: LCM of 565, 413, 113, 498 is 116205810.

2. How to calculate the LCM of 565, 413, 113, 498?

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 565, 413, 113, 498.

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}.