LCM of 551, 866, 110, 754, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 866, 110, 754, 960 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 551, 866, 110, 754, 960. So, keep reading to learn more.
Given numbers are 551,866,110,754,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,866,110,754,960 is 32752674240.
Find LCM of 551,866,110,754,960 with Prime Factorization
| 2 | 551, 866, 110, 754, 960 |
| 5 | 551, 433, 55, 377, 480 |
| 29 | 551, 433, 11, 377, 96 |
| 19, 433, 11, 13, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 19 x 433 x 11 x 13 x 96 = 32752674240
Therefore, the lowest common multiple of 551,866,110,754,960 is 32752674240.
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.
551 x 866 x 110 x 754 x 960 = 37993102118400
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.
551 : 1, 19, 29, 551
866 : 1, 2, 433, 866
110 : 1, 2, 5, 10, 11, 22, 55, 110
754 : 1, 2, 13, 26, 29, 58, 377, 754
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,866,110,754,960, is 1.
Now, the common factors can be found like this.
551:19x 29
866:2x 433
110:2x 5x 11
754:2x 13x 29
960:2x 2x 2x 2x 2x 2x 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 2x 5x 29 = 1160
Therefore, the value for common factors is 1160.
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 = 37993102118400/(1x1160)
LCM = 37993102118400/1160
LCM = 32752674240
Thus, we can understand that the LCM of 551,866,110,754,960 is 32752674240.
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FAQs on LCM of 551, 866, 110, 754, 960
1. What is the LCM of 551, 866, 110, 754, 960?
Answer: LCM of 551, 866, 110, 754, 960 is 32752674240.
2. How to calculate the LCM of 551, 866, 110, 754, 960?
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 551, 866, 110, 754, 960.
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}.