Given numbers are 152,19,205

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

The LCM of 152,19,205 is 31160.

Find LCM of 152,19,205 with Prime Factorization

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

19 x 8 x 1 x 205 = 31160

Therefore, the lowest common multiple of 152,19,205 is 31160.

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.

152 x 19 x 205 = 592040

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

19 : 1, 19

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,19,205, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

19:19

205:5x 41

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

19 = 19

Therefore, the value for common factors is 19.

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 = 592040/(1x19)

LCM = 592040/19

LCM = 31160

Thus, we can understand that the LCM of 152,19,205 is 31160.

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

• LCM of 889, 17, 583
• LCM of 555, 58, 779
• LCM of 447, 10, 809
• LCM of 858, 96, 952
• LCM of 496, 26, 492

1. What is the LCM of 152, 19, 205?

Answer: LCM of 152, 19, 205 is 31160.

2. How to calculate the LCM of 152, 19, 205?

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 152, 19, 205.

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}.