Find the LCM of 720, 534, 771, 963, 388 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, 534, 771, 963, 388. So, keep reading to learn more.
Given numbers are 720,534,771,963,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,534,771,963,388 is 170927184240.
Find LCM of 720,534,771,963,388 with Prime Factorization
2 | 720, 534, 771, 963, 388 |
2 | 360, 267, 771, 963, 194 |
3 | 180, 267, 771, 963, 97 |
3 | 60, 89, 257, 321, 97 |
20, 89, 257, 107, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 20 x 89 x 257 x 107 x 97 = 170927184240
Therefore, the lowest common multiple of 720,534,771,963,388 is 170927184240.
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 534 x 771 x 963 x 388 = 110760815387520
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
534 : 1, 2, 3, 6, 89, 178, 267, 534
771 : 1, 3, 257, 771
963 : 1, 3, 9, 107, 321, 963
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,534,771,963,388, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
534:2x 3x 89
771:3x 257
963:3x 3x 107
388:2x 2x 97
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 110760815387520/(1x648)
LCM = 110760815387520/648
LCM = 170927184240
Thus, we can understand that the LCM of 720,534,771,963,388 is 170927184240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 720, 534, 771, 963, 388?
Answer: LCM of 720, 534, 771, 963, 388 is 170927184240.
2. How to calculate the LCM of 720, 534, 771, 963, 388?
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, 534, 771, 963, 388.
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}.