Given numbers are 284,169,442,335

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

The LCM of 284,169,442,335 is 273337220.

Find LCM of 284,169,442,335 with Prime Factorization

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

2 x 13 x 142 x 13 x 17 x 335 = 273337220

Therefore, the lowest common multiple of 284,169,442,335 is 273337220.

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 169 x 442 x 335 = 7106767720

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

169 : 1, 13, 169

442 : 1, 2, 13, 17, 26, 34, 221, 442

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,169,442,335, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

169:13x 13

442:2x 13x 17

335:5x 67

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 7106767720/(1x26)

LCM = 7106767720/26

LCM = 273337220

Thus, we can understand that the LCM of 284,169,442,335 is 273337220.

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

• LCM of 368, 587, 947, 959
• LCM of 171, 658, 377, 607
• LCM of 910, 233, 136, 723
• LCM of 595, 851, 974, 649
• LCM of 679, 991, 406, 146

1. What is the LCM of 284, 169, 442, 335?

Answer: LCM of 284, 169, 442, 335 is 273337220.

2. How to calculate the LCM of 284, 169, 442, 335?

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, 169, 442, 335.

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}.