LCM of 554, 836, 754, 383, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 836, 754, 383, 928 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 554, 836, 754, 383, 928. So, keep reading to learn more.
Given numbers are 554,836,754,383,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,836,754,383,928 is 267495301216.
Find LCM of 554,836,754,383,928 with Prime Factorization
| 2 | 554, 836, 754, 383, 928 |
| 2 | 277, 418, 377, 383, 464 |
| 29 | 277, 209, 377, 383, 232 |
| 277, 209, 13, 383, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 277 x 209 x 13 x 383 x 8 = 267495301216
Therefore, the lowest common multiple of 554,836,754,383,928 is 267495301216.
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.
554 x 836 x 754 x 383 x 928 = 124117819764224
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.
554 : 1, 2, 277, 554
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
754 : 1, 2, 13, 26, 29, 58, 377, 754
383 : 1, 383
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,836,754,383,928, is 1.
Now, the common factors can be found like this.
554:2x 277
836:2x 2x 11x 19
754:2x 13x 29
383:383
928:2x 2x 2x 2x 2x 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 2x 29 = 464
Therefore, the value for common factors is 464.
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 = 124117819764224/(1x464)
LCM = 124117819764224/464
LCM = 267495301216
Thus, we can understand that the LCM of 554,836,754,383,928 is 267495301216.
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FAQs on LCM of 554, 836, 754, 383, 928
1. What is the LCM of 554, 836, 754, 383, 928?
Answer: LCM of 554, 836, 754, 383, 928 is 267495301216.
2. How to calculate the LCM of 554, 836, 754, 383, 928?
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 554, 836, 754, 383, 928.
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}.