Find the LCM of 676, 285, 289, 612 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 676, 285, 289, 612. So, keep reading to learn more.
Given numbers are 676,285,289,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,285,289,612 is 167036220.
Find LCM of 676,285,289,612 with Prime Factorization
2 | 676, 285, 289, 612 |
2 | 338, 285, 289, 306 |
3 | 169, 285, 289, 153 |
17 | 169, 95, 289, 51 |
169, 95, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 169 x 95 x 17 x 3 = 167036220
Therefore, the lowest common multiple of 676,285,289,612 is 167036220.
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.
676 x 285 x 289 x 612 = 34075388880
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
285 : 1, 3, 5, 15, 19, 57, 95, 285
289 : 1, 17, 289
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,285,289,612, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
285:3x 5x 19
289:17x 17
612:2x 2x 3x 3x 17
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 17 = 204
Therefore, the value for common factors is 204.
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 = 34075388880/(1x204)
LCM = 34075388880/204
LCM = 167036220
Thus, we can understand that the LCM of 676,285,289,612 is 167036220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 285, 289, 612?
Answer: LCM of 676, 285, 289, 612 is 167036220.
2. How to calculate the LCM of 676, 285, 289, 612?
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 676, 285, 289, 612.
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}.