Given numbers are 538,214,690,349,167

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

The LCM of 538,214,690,349,167 is 1157516116410.

Find LCM of 538,214,690,349,167 with Prime Factorization

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

2 x 269 x 107 x 345 x 349 x 167 = 1157516116410

Therefore, the lowest common multiple of 538,214,690,349,167 is 1157516116410.

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 214 x 690 x 349 x 167 = 4630064465640

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

214 : 1, 2, 107, 214

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

349 : 1, 349

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,214,690,349,167, is 1.

Now, the common factors can be found like this.

538:2x 269

214:2x 107

690:2x 3x 5x 23

349:349

167:167

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 = 4630064465640/(1x4)

LCM = 4630064465640/4

LCM = 1157516116410

Thus, we can understand that the LCM of 538,214,690,349,167 is 1157516116410.

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

• LCM of 786, 130, 898, 746, 746
• LCM of 832, 493, 457, 332, 921
• LCM of 654, 194, 355, 875, 287
• LCM of 440, 672, 404, 589, 277
• LCM of 968, 591, 630, 158, 676

1. What is the LCM of 538, 214, 690, 349, 167?

Answer: LCM of 538, 214, 690, 349, 167 is 1157516116410.

2. How to calculate the LCM of 538, 214, 690, 349, 167?

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, 214, 690, 349, 167.

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}.