Given numbers are 138,351,253,537

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

The LCM of 138,351,253,537 is 31791474.

Find LCM of 138,351,253,537 with Prime Factorization

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

3 x 23 x 2 x 117 x 11 x 179 = 31791474

Therefore, the lowest common multiple of 138,351,253,537 is 31791474.

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.

138 x 351 x 253 x 537 = 6580835118

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

351 : 1, 3, 9, 13, 27, 39, 117, 351

253 : 1, 11, 23, 253

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,351,253,537, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

351:3x 3x 3x 13

253:11x 23

537:3x 179

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 6580835118/(1x207)

LCM = 6580835118/207

LCM = 31791474

Thus, we can understand that the LCM of 138,351,253,537 is 31791474.

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

• LCM of 233, 318, 934, 717
• LCM of 139, 285, 369, 492
• LCM of 608, 137, 433, 422
• LCM of 979, 178, 230, 274
• LCM of 123, 141, 340, 172

1. What is the LCM of 138, 351, 253, 537?

Answer: LCM of 138, 351, 253, 537 is 31791474.

2. How to calculate the LCM of 138, 351, 253, 537?

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 138, 351, 253, 537.

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}.