LCM of 388, 480, 551, 946, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 480, 551, 946, 493 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 388, 480, 551, 946, 493. So, keep reading to learn more.
Given numbers are 388,480,551,946,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,480,551,946,493 is 206288316960.
Find LCM of 388,480,551,946,493 with Prime Factorization
| 2 | 388, 480, 551, 946, 493 |
| 2 | 194, 240, 551, 473, 493 |
| 29 | 97, 120, 551, 473, 493 |
| 97, 120, 19, 473, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 97 x 120 x 19 x 473 x 17 = 206288316960
Therefore, the lowest common multiple of 388,480,551,946,493 is 206288316960.
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.
388 x 480 x 551 x 946 x 493 = 47858889534720
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.
388 : 1, 2, 4, 97, 194, 388
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
551 : 1, 19, 29, 551
946 : 1, 2, 11, 22, 43, 86, 473, 946
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,480,551,946,493, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
480:2x 2x 2x 2x 2x 3x 5
551:19x 29
946:2x 11x 43
493:17x 29
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 29 = 232
Therefore, the value for common factors is 232.
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 = 47858889534720/(1x232)
LCM = 47858889534720/232
LCM = 206288316960
Thus, we can understand that the LCM of 388,480,551,946,493 is 206288316960.
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FAQs on LCM of 388, 480, 551, 946, 493
1. What is the LCM of 388, 480, 551, 946, 493?
Answer: LCM of 388, 480, 551, 946, 493 is 206288316960.
2. How to calculate the LCM of 388, 480, 551, 946, 493?
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 388, 480, 551, 946, 493.
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}.