Given numbers are 386,170,176,123

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

The LCM of 386,170,176,123 is 355135440.

Find LCM of 386,170,176,123 with Prime Factorization

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

2 x 193 x 85 x 88 x 123 = 355135440

Therefore, the lowest common multiple of 386,170,176,123 is 355135440.

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.

386 x 170 x 176 x 123 = 1420541760

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.

386 : 1, 2, 193, 386

170 : 1, 2, 5, 10, 17, 34, 85, 170

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,170,176,123, is 1.

Now, the common factors can be found like this.

386:2x 193

170:2x 5x 17

176:2x 2x 2x 2x 11

123:3x 41

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1420541760/(1x4)

LCM = 1420541760/4

LCM = 355135440

Thus, we can understand that the LCM of 386,170,176,123 is 355135440.

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

• LCM of 214, 535, 171, 880
• LCM of 487, 668, 554, 731
• LCM of 599, 144, 365, 434
• LCM of 756, 826, 153, 681
• LCM of 293, 515, 138, 871

1. What is the LCM of 386, 170, 176, 123?

Answer: LCM of 386, 170, 176, 123 is 355135440.

2. How to calculate the LCM of 386, 170, 176, 123?

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 386, 170, 176, 123.

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}.