Given numbers are 284,142,706

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

The LCM of 284,142,706 is 100252.

Find LCM of 284,142,706 with Prime Factorization

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

2 x 71 x 2 x 1 x 353 = 100252

Therefore, the lowest common multiple of 284,142,706 is 100252.

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.

284 x 142 x 706 = 28471568

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.

284 : 1, 2, 4, 71, 142, 284

142 : 1, 2, 71, 142

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,142,706, is 2.

Now, the common factors can be found like this.

284:2x 2x 71

142:2x 71

706:2x 353

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 28471568/(2x142)

LCM = 28471568/284

LCM = 100252

Thus, we can understand that the LCM of 284,142,706 is 100252.

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

• LCM of 758, 441, 788
• LCM of 433, 621, 315
• LCM of 803, 719, 774
• LCM of 691, 915, 964
• LCM of 561, 364, 495

1. What is the LCM of 284, 142, 706?

Answer: LCM of 284, 142, 706 is 100252.

2. How to calculate the LCM of 284, 142, 706?

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 284, 142, 706.

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}.