Given numbers are 156,219,138,207

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

The LCM of 156,219,138,207 is 785772.

Find LCM of 156,219,138,207 with Prime Factorization

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

2 x 3 x 23 x 26 x 73 x 1 x 3 = 785772

Therefore, the lowest common multiple of 156,219,138,207 is 785772.

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.

156 x 219 x 138 x 207 = 975928824

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

219 : 1, 3, 73, 219

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

207 : 1, 3, 9, 23, 69, 207

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,219,138,207, is 3.

Now, the common factors can be found like this.

156:2x 2x 3x 13

219:3x 73

138:2x 3x 23

207:3x 3x 23

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

2x 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 975928824/(3x414)

LCM = 975928824/1242

LCM = 785772

Thus, we can understand that the LCM of 156,219,138,207 is 785772.

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

• LCM of 885, 343, 435, 248
• LCM of 680, 563, 676, 173
• LCM of 779, 758, 515, 319
• LCM of 980, 188, 156, 976
• LCM of 543, 531, 123, 109

1. What is the LCM of 156, 219, 138, 207?

Answer: LCM of 156, 219, 138, 207 is 785772.

2. How to calculate the LCM of 156, 219, 138, 207?

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 156, 219, 138, 207.

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}.