LCM of 258, 729, 277, 554, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 729, 277, 554, 344 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 258, 729, 277, 554, 344. So, keep reading to learn more.
Given numbers are 258,729,277,554,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,729,277,554,344 is 69464952.
Find LCM of 258,729,277,554,344 with Prime Factorization
| 2 | 258, 729, 277, 554, 344 |
| 3 | 129, 729, 277, 277, 172 |
| 43 | 43, 243, 277, 277, 172 |
| 277 | 1, 243, 277, 277, 4 |
| 1, 243, 1, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 277 x 1 x 243 x 1 x 1 x 4 = 69464952
Therefore, the lowest common multiple of 258,729,277,554,344 is 69464952.
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.
258 x 729 x 277 x 554 x 344 = 9928764519264
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
729 : 1, 3, 9, 27, 81, 243, 729
277 : 1, 277
554 : 1, 2, 277, 554
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,729,277,554,344, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
729:3x 3x 3x 3x 3x 3
277:277
554:2x 277
344:2x 2x 2x 43
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 43x 277 = 142932
Therefore, the value for common factors is 142932.
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 = 9928764519264/(1x142932)
LCM = 9928764519264/142932
LCM = 69464952
Thus, we can understand that the LCM of 258,729,277,554,344 is 69464952.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 258, 729, 277, 554, 344
1. What is the LCM of 258, 729, 277, 554, 344?
Answer: LCM of 258, 729, 277, 554, 344 is 69464952.
2. How to calculate the LCM of 258, 729, 277, 554, 344?
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 258, 729, 277, 554, 344.
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}.