Find the LCM of 442, 142, 239, 355, 259 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 442, 142, 239, 355, 259. So, keep reading to learn more.
Given numbers are 442,142,239,355,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,142,239,355,259 is 9712885910.
Find LCM of 442,142,239,355,259 with Prime Factorization
2 | 442, 142, 239, 355, 259 |
71 | 221, 71, 239, 355, 259 |
221, 1, 239, 5, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 221 x 1 x 239 x 5 x 259 = 9712885910
Therefore, the lowest common multiple of 442,142,239,355,259 is 9712885910.
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.
442 x 142 x 239 x 355 x 259 = 1379229799220
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
142 : 1, 2, 71, 142
239 : 1, 239
355 : 1, 5, 71, 355
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,142,239,355,259, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
142:2x 71
239:239
355:5x 71
259:7x 37
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 = 1379229799220/(1x142)
LCM = 1379229799220/142
LCM = 9712885910
Thus, we can understand that the LCM of 442,142,239,355,259 is 9712885910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 142, 239, 355, 259?
Answer: LCM of 442, 142, 239, 355, 259 is 9712885910.
2. How to calculate the LCM of 442, 142, 239, 355, 259?
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 442, 142, 239, 355, 259.
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}.