Find the LCM of 216, 283, 187, 566, 169 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 216, 283, 187, 566, 169. So, keep reading to learn more.
Given numbers are 216,283,187,566,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,283,187,566,169 is 1931828184.
Find LCM of 216,283,187,566,169 with Prime Factorization
2 | 216, 283, 187, 566, 169 |
283 | 108, 283, 187, 283, 169 |
108, 1, 187, 1, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 283 x 108 x 1 x 187 x 1 x 169 = 1931828184
Therefore, the lowest common multiple of 216,283,187,566,169 is 1931828184.
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.
216 x 283 x 187 x 566 x 169 = 1093414752144
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
283 : 1, 283
187 : 1, 11, 17, 187
566 : 1, 2, 283, 566
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,283,187,566,169, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
283:283
187:11x 17
566:2x 283
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 283 = 566
Therefore, the value for common factors is 566.
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 = 1093414752144/(1x566)
LCM = 1093414752144/566
LCM = 1931828184
Thus, we can understand that the LCM of 216,283,187,566,169 is 1931828184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 216, 283, 187, 566, 169?
Answer: LCM of 216, 283, 187, 566, 169 is 1931828184.
2. How to calculate the LCM of 216, 283, 187, 566, 169?
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 216, 283, 187, 566, 169.
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}.