LCM of 554, 273, 423, 928, 986
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 554, 273, 423, 928, 986 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, 273, 423, 928, 986. So, keep reading to learn more.
Given numbers are 554,273,423,928,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 554,273,423,928,986 is 168212562336.
Find LCM of 554,273,423,928,986 with Prime Factorization
| 2 | 554, 273, 423, 928, 986 |
| 3 | 277, 273, 423, 464, 493 |
| 29 | 277, 91, 141, 464, 493 |
| 277, 91, 141, 16, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 277 x 91 x 141 x 16 x 17 = 168212562336
Therefore, the lowest common multiple of 554,273,423,928,986 is 168212562336.
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 273 x 423 x 928 x 986 = 58537971692928
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
273 : 1, 3, 7, 13, 21, 39, 91, 273
423 : 1, 3, 9, 47, 141, 423
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,273,423,928,986, is 1.
Now, the common factors can be found like this.
554:2x 277
273:3x 7x 13
423:3x 3x 47
928:2x 2x 2x 2x 2x 29
986:2x 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 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 58537971692928/(1x348)
LCM = 58537971692928/348
LCM = 168212562336
Thus, we can understand that the LCM of 554,273,423,928,986 is 168212562336.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 554, 273, 423, 928, 986
1. What is the LCM of 554, 273, 423, 928, 986?
Answer: LCM of 554, 273, 423, 928, 986 is 168212562336.
2. How to calculate the LCM of 554, 273, 423, 928, 986?
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, 273, 423, 928, 986.
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}.