Find the LCM of 562, 445, 466, 985, 955 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, 445, 466, 985, 955. So, keep reading to learn more.
Given numbers are 562,445,466,985,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,445,466,985,955 is 2192561788190.
Find LCM of 562,445,466,985,955 with Prime Factorization
2 | 562, 445, 466, 985, 955 |
5 | 281, 445, 233, 985, 955 |
281, 89, 233, 197, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 281 x 89 x 233 x 197 x 191 = 2192561788190
Therefore, the lowest common multiple of 562,445,466,985,955 is 2192561788190.
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 445 x 466 x 985 x 955 = 109628089409500
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
445 : 1, 5, 89, 445
466 : 1, 2, 233, 466
985 : 1, 5, 197, 985
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,445,466,985,955, is 1.
Now, the common factors can be found like this.
562:2x 281
445:5x 89
466:2x 233
985:5x 197
955:5x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 109628089409500/(1x50)
LCM = 109628089409500/50
LCM = 2192561788190
Thus, we can understand that the LCM of 562,445,466,985,955 is 2192561788190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 562, 445, 466, 985, 955?
Answer: LCM of 562, 445, 466, 985, 955 is 2192561788190.
2. How to calculate the LCM of 562, 445, 466, 985, 955?
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, 445, 466, 985, 955.
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}.