Find the LCM of 289, 952, 612, 627, 684 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 289, 952, 612, 627, 684. So, keep reading to learn more.
Given numbers are 289,952,612,627,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,952,612,627,684 is 30442104.
Find LCM of 289,952,612,627,684 with Prime Factorization
2 | 289, 952, 612, 627, 684 |
2 | 289, 476, 306, 627, 342 |
3 | 289, 238, 153, 627, 171 |
3 | 289, 238, 51, 209, 57 |
17 | 289, 238, 17, 209, 19 |
19 | 1, 14, 17, 209, 19 |
1, 14, 17, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 19 x 1 x 14 x 17 x 11 x 1 = 30442104
Therefore, the lowest common multiple of 289,952,612,627,684 is 30442104.
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.
289 x 952 x 612 x 627 x 684 = 72212080203648
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.
289 : 1, 17, 289
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
627 : 1, 3, 11, 19, 33, 57, 209, 627
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,952,612,627,684, is 1.
Now, the common factors can be found like this.
289:17x 17
952:2x 2x 2x 7x 17
612:2x 2x 3x 3x 17
627:3x 11x 19
684:2x 2x 3x 3x 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 2x 2x 3x 3x 3x 17x 17x 19 = 2372112
Therefore, the value for common factors is 2372112.
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 = 72212080203648/(1x2372112)
LCM = 72212080203648/2372112
LCM = 30442104
Thus, we can understand that the LCM of 289,952,612,627,684 is 30442104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 952, 612, 627, 684?
Answer: LCM of 289, 952, 612, 627, 684 is 30442104.
2. How to calculate the LCM of 289, 952, 612, 627, 684?
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 289, 952, 612, 627, 684.
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}.