Find the LCM of 720, 921, 963, 303, 676 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 720, 921, 963, 303, 676. So, keep reading to learn more.
Given numbers are 720,921,963,303,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,921,963,303,676 is 403703698320.
Find LCM of 720,921,963,303,676 with Prime Factorization
2 | 720, 921, 963, 303, 676 |
2 | 360, 921, 963, 303, 338 |
3 | 180, 921, 963, 303, 169 |
3 | 60, 307, 321, 101, 169 |
20, 307, 107, 101, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 20 x 307 x 107 x 101 x 169 = 403703698320
Therefore, the lowest common multiple of 720,921,963,303,676 is 403703698320.
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.
720 x 921 x 963 x 303 x 676 = 130799998255680
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.
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
921 : 1, 3, 307, 921
963 : 1, 3, 9, 107, 321, 963
303 : 1, 3, 101, 303
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,921,963,303,676, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
921:3x 307
963:3x 3x 107
303:3x 101
676:2x 2x 13x 13
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 130799998255680/(1x324)
LCM = 130799998255680/324
LCM = 403703698320
Thus, we can understand that the LCM of 720,921,963,303,676 is 403703698320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 921, 963, 303, 676?
Answer: LCM of 720, 921, 963, 303, 676 is 403703698320.
2. How to calculate the LCM of 720, 921, 963, 303, 676?
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 720, 921, 963, 303, 676.
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}.