Given numbers are 138,161,506,293

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

The LCM of 138,161,506,293 is 3113418.

Find LCM of 138,161,506,293 with Prime Factorization

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

2 x 23 x 3 x 7 x 11 x 293 = 3113418

Therefore, the lowest common multiple of 138,161,506,293 is 3113418.

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 161 x 506 x 293 = 3293996244

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

161 : 1, 7, 23, 161

506 : 1, 2, 11, 22, 23, 46, 253, 506

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,161,506,293, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

161:7x 23

506:2x 11x 23

293:293

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 3293996244/(1x1058)

LCM = 3293996244/1058

LCM = 3113418

Thus, we can understand that the LCM of 138,161,506,293 is 3113418.

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

• LCM of 480, 603, 964, 601
• LCM of 440, 114, 283, 304
• LCM of 287, 603, 408, 413
• LCM of 142, 746, 900, 148
• LCM of 687, 798, 475, 242

1. What is the LCM of 138, 161, 506, 293?

Answer: LCM of 138, 161, 506, 293 is 3113418.

2. How to calculate the LCM of 138, 161, 506, 293?

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, 161, 506, 293.

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}.