Given numbers are 985,71,284

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

The LCM of 985,71,284 is 279740.

Find LCM of 985,71,284 with Prime Factorization

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

71 x 985 x 1 x 4 = 279740

Therefore, the lowest common multiple of 985,71,284 is 279740.

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.

985 x 71 x 284 = 19861540

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.

985 : 1, 5, 197, 985

71 : 1, 71

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,71,284, is 1.

Now, the common factors can be found like this.

985:5x 197

71:71

284:2x 2x 71

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

71 = 71

Therefore, the value for common factors is 71.

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 = 19861540/(1x71)

LCM = 19861540/71

LCM = 279740

Thus, we can understand that the LCM of 985,71,284 is 279740.

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

• LCM of 836, 90, 278
• LCM of 615, 67, 356
• LCM of 297, 89, 753
• LCM of 745, 24, 532
• LCM of 550, 80, 553

1. What is the LCM of 985, 71, 284?

Answer: LCM of 985, 71, 284 is 279740.

2. How to calculate the LCM of 985, 71, 284?

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 985, 71, 284.

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}.