Given numbers are 286,16,123

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

The LCM of 286,16,123 is 281424.

Find LCM of 286,16,123 with Prime Factorization

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

2 x 143 x 8 x 123 = 281424

Therefore, the lowest common multiple of 286,16,123 is 281424.

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.

286 x 16 x 123 = 562848

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

16 : 1, 2, 4, 8, 16

123 : 1, 3, 41, 123

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,16,123, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

16:2x 2x 2x 2

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.

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 = 562848/(1x2)

LCM = 562848/2

LCM = 281424

Thus, we can understand that the LCM of 286,16,123 is 281424.

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

• LCM of 583, 33, 190
• LCM of 171, 87, 497
• LCM of 209, 69, 653
• LCM of 378, 90, 793
• LCM of 265, 32, 200

1. What is the LCM of 286, 16, 123?

Answer: LCM of 286, 16, 123 is 281424.

2. How to calculate the LCM of 286, 16, 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 286, 16, 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}.