Given numbers are 538,218,205,102

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

The LCM of 538,218,205,102 is 613102110.

Find LCM of 538,218,205,102 with Prime Factorization

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

2 x 269 x 109 x 205 x 51 = 613102110

Therefore, the lowest common multiple of 538,218,205,102 is 613102110.

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.

538 x 218 x 205 x 102 = 2452408440

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.

538 : 1, 2, 269, 538

218 : 1, 2, 109, 218

205 : 1, 5, 41, 205

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,218,205,102, is 1.

Now, the common factors can be found like this.

538:2x 269

218:2x 109

205:5x 41

102:2x 3x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2452408440/(1x4)

LCM = 2452408440/4

LCM = 613102110

Thus, we can understand that the LCM of 538,218,205,102 is 613102110.

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

• LCM of 733, 205, 418, 621
• LCM of 485, 913, 472, 954
• LCM of 838, 161, 601, 306
• LCM of 900, 301, 452, 828
• LCM of 627, 535, 854, 423

1. What is the LCM of 538, 218, 205, 102?

Answer: LCM of 538, 218, 205, 102 is 613102110.

2. How to calculate the LCM of 538, 218, 205, 102?

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 538, 218, 205, 102.

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}.