Find the LCM of 222, 596, 298, 289, 627 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 222, 596, 298, 289, 627. So, keep reading to learn more.
Given numbers are 222,596,298,289,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,596,298,289,627 is 3995888556.
Find LCM of 222,596,298,289,627 with Prime Factorization
2 | 222, 596, 298, 289, 627 |
3 | 111, 298, 149, 289, 627 |
149 | 37, 298, 149, 289, 209 |
37, 2, 1, 289, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 37 x 2 x 1 x 289 x 209 = 3995888556
Therefore, the lowest common multiple of 222,596,298,289,627 is 3995888556.
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.
222 x 596 x 298 x 289 x 627 = 7144648738128
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
596 : 1, 2, 4, 149, 298, 596
298 : 1, 2, 149, 298
289 : 1, 17, 289
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,596,298,289,627, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
596:2x 2x 149
298:2x 149
289:17x 17
627:3x 11x 19
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 149 = 1788
Therefore, the value for common factors is 1788.
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 = 7144648738128/(1x1788)
LCM = 7144648738128/1788
LCM = 3995888556
Thus, we can understand that the LCM of 222,596,298,289,627 is 3995888556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 222, 596, 298, 289, 627?
Answer: LCM of 222, 596, 298, 289, 627 is 3995888556.
2. How to calculate the LCM of 222, 596, 298, 289, 627?
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 222, 596, 298, 289, 627.
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}.