Find the LCM of 567, 342, 239, 790, 984 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 567, 342, 239, 790, 984. So, keep reading to learn more.
Given numbers are 567,342,239,790,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,342,239,790,984 is 333584221320.
Find LCM of 567,342,239,790,984 with Prime Factorization
2 | 567, 342, 239, 790, 984 |
3 | 567, 171, 239, 395, 492 |
3 | 189, 57, 239, 395, 164 |
63, 19, 239, 395, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 63 x 19 x 239 x 395 x 164 = 333584221320
Therefore, the lowest common multiple of 567,342,239,790,984 is 333584221320.
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.
567 x 342 x 239 x 790 x 984 = 36027095902560
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
239 : 1, 239
790 : 1, 2, 5, 10, 79, 158, 395, 790
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,342,239,790,984, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
342:2x 3x 3x 19
239:239
790:2x 5x 79
984:2x 2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 36027095902560/(1x108)
LCM = 36027095902560/108
LCM = 333584221320
Thus, we can understand that the LCM of 567,342,239,790,984 is 333584221320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 342, 239, 790, 984?
Answer: LCM of 567, 342, 239, 790, 984 is 333584221320.
2. How to calculate the LCM of 567, 342, 239, 790, 984?
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 567, 342, 239, 790, 984.
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}.