Given numbers are 138,187,232,149

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

The LCM of 138,187,232,149 is 446030904.

Find LCM of 138,187,232,149 with Prime Factorization

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

2 x 69 x 187 x 116 x 149 = 446030904

Therefore, the lowest common multiple of 138,187,232,149 is 446030904.

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 187 x 232 x 149 = 892061808

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

187 : 1, 11, 17, 187

232 : 1, 2, 4, 8, 29, 58, 116, 232

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,187,232,149, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

187:11x 17

232:2x 2x 2x 29

149:149

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

2 = 2

Therefore, the value for common factors is 2.

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 = 892061808/(1x2)

LCM = 892061808/2

LCM = 446030904

Thus, we can understand that the LCM of 138,187,232,149 is 446030904.

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

• LCM of 414, 986, 716, 578
• LCM of 845, 481, 331, 603
• LCM of 751, 443, 152, 289
• LCM of 616, 995, 517, 625
• LCM of 521, 693, 387, 987

1. What is the LCM of 138, 187, 232, 149?

Answer: LCM of 138, 187, 232, 149 is 446030904.

2. How to calculate the LCM of 138, 187, 232, 149?

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, 187, 232, 149.

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}.