Find the LCM of 309, 676, 455, 720 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 309, 676, 455, 720. So, keep reading to learn more.
Given numbers are 309,676,455,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,676,455,720 is 87731280.
Find LCM of 309,676,455,720 with Prime Factorization
2 | 309, 676, 455, 720 |
2 | 309, 338, 455, 360 |
3 | 309, 169, 455, 180 |
5 | 103, 169, 455, 60 |
13 | 103, 169, 91, 12 |
103, 13, 7, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 103 x 13 x 7 x 12 = 87731280
Therefore, the lowest common multiple of 309,676,455,720 is 87731280.
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.
309 x 676 x 455 x 720 = 68430398400
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.
309 : 1, 3, 103, 309
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
455 : 1, 5, 7, 13, 35, 65, 91, 455
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,676,455,720, is 1.
Now, the common factors can be found like this.
309:3x 103
676:2x 2x 13x 13
455:5x 7x 13
720:2x 2x 2x 2x 3x 3x 5
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 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 68430398400/(1x780)
LCM = 68430398400/780
LCM = 87731280
Thus, we can understand that the LCM of 309,676,455,720 is 87731280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 676, 455, 720?
Answer: LCM of 309, 676, 455, 720 is 87731280.
2. How to calculate the LCM of 309, 676, 455, 720?
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 309, 676, 455, 720.
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}.