Find the LCM of 562, 635, 381, 367, 511 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 562, 635, 381, 367, 511. So, keep reading to learn more.
Given numbers are 562,635,381,367,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,635,381,367,511 is 200778987570.
Find LCM of 562,635,381,367,511 with Prime Factorization
127 | 562, 635, 381, 367, 511 |
562, 5, 3, 367, 511 |
Multiply the prime numbers at the bottom and the left side.
127 x 562 x 5 x 3 x 367 x 511 = 200778987570
Therefore, the lowest common multiple of 562,635,381,367,511 is 200778987570.
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.
562 x 635 x 381 x 367 x 511 = 25498931421390
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.
562 : 1, 2, 281, 562
635 : 1, 5, 127, 635
381 : 1, 3, 127, 381
367 : 1, 367
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,635,381,367,511, is 1.
Now, the common factors can be found like this.
562:2x 281
635:5x 127
381:3x 127
367:367
511:7x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
127 = 127
Therefore, the value for common factors is 127.
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 = 25498931421390/(1x127)
LCM = 25498931421390/127
LCM = 200778987570
Thus, we can understand that the LCM of 562,635,381,367,511 is 200778987570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 562, 635, 381, 367, 511?
Answer: LCM of 562, 635, 381, 367, 511 is 200778987570.
2. How to calculate the LCM of 562, 635, 381, 367, 511?
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 562, 635, 381, 367, 511.
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}.