Find the LCM of 377, 720, 729, 288 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 377, 720, 729, 288. So, keep reading to learn more.
Given numbers are 377,720,729,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,720,729,288 is 43973280.
Find LCM of 377,720,729,288 with Prime Factorization
2 | 377, 720, 729, 288 |
2 | 377, 360, 729, 144 |
2 | 377, 180, 729, 72 |
2 | 377, 90, 729, 36 |
3 | 377, 45, 729, 18 |
3 | 377, 15, 243, 6 |
377, 5, 81, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 377 x 5 x 81 x 2 = 43973280
Therefore, the lowest common multiple of 377,720,729,288 is 43973280.
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.
377 x 720 x 729 x 288 = 56989370880
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.
377 : 1, 13, 29, 377
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
729 : 1, 3, 9, 27, 81, 243, 729
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,720,729,288, is 1.
Now, the common factors can be found like this.
377:13x 29
720:2x 2x 2x 2x 3x 3x 5
729:3x 3x 3x 3x 3x 3
288:2x 2x 2x 2x 2x 3x 3
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 3 = 1296
Therefore, the value for common factors is 1296.
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 = 56989370880/(1x1296)
LCM = 56989370880/1296
LCM = 43973280
Thus, we can understand that the LCM of 377,720,729,288 is 43973280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 720, 729, 288?
Answer: LCM of 377, 720, 729, 288 is 43973280.
2. How to calculate the LCM of 377, 720, 729, 288?
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 377, 720, 729, 288.
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}.