Find the LCM of 114, 323, 206, 166, 987 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 114, 323, 206, 166, 987. So, keep reading to learn more.
Given numbers are 114,323,206,166,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,323,206,166,987 is 5450859498.
Find LCM of 114,323,206,166,987 with Prime Factorization
2 | 114, 323, 206, 166, 987 |
3 | 57, 323, 103, 83, 987 |
19 | 19, 323, 103, 83, 329 |
1, 17, 103, 83, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 1 x 17 x 103 x 83 x 329 = 5450859498
Therefore, the lowest common multiple of 114,323,206,166,987 is 5450859498.
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.
114 x 323 x 206 x 166 x 987 = 1242795965544
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
323 : 1, 17, 19, 323
206 : 1, 2, 103, 206
166 : 1, 2, 83, 166
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,323,206,166,987, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
323:17x 19
206:2x 103
166:2x 83
987:3x 7x 47
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 19 = 228
Therefore, the value for common factors is 228.
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 = 1242795965544/(1x228)
LCM = 1242795965544/228
LCM = 5450859498
Thus, we can understand that the LCM of 114,323,206,166,987 is 5450859498.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 114, 323, 206, 166, 987?
Answer: LCM of 114, 323, 206, 166, 987 is 5450859498.
2. How to calculate the LCM of 114, 323, 206, 166, 987?
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 114, 323, 206, 166, 987.
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}.