Given numbers are 842,228,290,289

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

The LCM of 842,228,290,289 is 4022377140.

Find LCM of 842,228,290,289 with Prime Factorization

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

2 x 421 x 114 x 145 x 289 = 4022377140

Therefore, the lowest common multiple of 842,228,290,289 is 4022377140.

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.

842 x 228 x 290 x 289 = 16089508560

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.

842 : 1, 2, 421, 842

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

290 : 1, 2, 5, 10, 29, 58, 145, 290

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,228,290,289, is 1.

Now, the common factors can be found like this.

842:2x 421

228:2x 2x 3x 19

290:2x 5x 29

289:17x 17

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 = 16089508560/(1x4)

LCM = 16089508560/4

LCM = 4022377140

Thus, we can understand that the LCM of 842,228,290,289 is 4022377140.

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

• LCM of 110, 789, 834, 554
• LCM of 457, 773, 320, 975
• LCM of 213, 312, 369, 578
• LCM of 278, 298, 612, 907
• LCM of 493, 875, 312, 945

1. What is the LCM of 842, 228, 290, 289?

Answer: LCM of 842, 228, 290, 289 is 4022377140.

2. How to calculate the LCM of 842, 228, 290, 289?

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 842, 228, 290, 289.

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}.