Find the LCM of 611, 117, 199, 106 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 611, 117, 199, 106. So, keep reading to learn more.
Given numbers are 611,117,199,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,117,199,106 is 115995906.
Find LCM of 611,117,199,106 with Prime Factorization
13 | 611, 117, 199, 106 |
47, 9, 199, 106 |
Multiply the prime numbers at the bottom and the left side.
13 x 47 x 9 x 199 x 106 = 115995906
Therefore, the lowest common multiple of 611,117,199,106 is 115995906.
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.
611 x 117 x 199 x 106 = 1507946778
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.
611 : 1, 13, 47, 611
117 : 1, 3, 9, 13, 39, 117
199 : 1, 199
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,117,199,106, is 1.
Now, the common factors can be found like this.
611:13x 47
117:3x 3x 13
199:199
106:2x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 1507946778/(1x13)
LCM = 1507946778/13
LCM = 115995906
Thus, we can understand that the LCM of 611,117,199,106 is 115995906.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 611, 117, 199, 106?
Answer: LCM of 611, 117, 199, 106 is 115995906.
2. How to calculate the LCM of 611, 117, 199, 106?
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 611, 117, 199, 106.
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}.