LCM of 720, 969, 244, 986, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 969, 244, 986, 557 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, 969, 244, 986, 557. So, keep reading to learn more.
Given numbers are 720,969,244,986,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,969,244,986,557 is 229149042480.
Find LCM of 720,969,244,986,557 with Prime Factorization
| 2 | 720, 969, 244, 986, 557 |
| 2 | 360, 969, 122, 493, 557 |
| 3 | 180, 969, 61, 493, 557 |
| 17 | 60, 323, 61, 493, 557 |
| 60, 19, 61, 29, 557 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 60 x 19 x 61 x 29 x 557 = 229149042480
Therefore, the lowest common multiple of 720,969,244,986,557 is 229149042480.
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 969 x 244 x 986 x 557 = 93492809331840
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
244 : 1, 2, 4, 61, 122, 244
986 : 1, 2, 17, 29, 34, 58, 493, 986
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,969,244,986,557, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
969:3x 17x 19
244:2x 2x 61
986:2x 17x 29
557:557
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 17 = 408
Therefore, the value for common factors is 408.
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 = 93492809331840/(1x408)
LCM = 93492809331840/408
LCM = 229149042480
Thus, we can understand that the LCM of 720,969,244,986,557 is 229149042480.
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FAQs on LCM of 720, 969, 244, 986, 557
1. What is the LCM of 720, 969, 244, 986, 557?
Answer: LCM of 720, 969, 244, 986, 557 is 229149042480.
2. How to calculate the LCM of 720, 969, 244, 986, 557?
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, 969, 244, 986, 557.
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}.