LCM of 677, 286, 354, 162, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 286, 354, 162, 509 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 677, 286, 354, 162, 509. So, keep reading to learn more.
Given numbers are 677,286,354,162,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,286,354,162,509 is 470987644842.
Find LCM of 677,286,354,162,509 with Prime Factorization
| 2 | 677, 286, 354, 162, 509 |
| 3 | 677, 143, 177, 81, 509 |
| 677, 143, 59, 27, 509 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 677 x 143 x 59 x 27 x 509 = 470987644842
Therefore, the lowest common multiple of 677,286,354,162,509 is 470987644842.
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.
677 x 286 x 354 x 162 x 509 = 5651851738104
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.
677 : 1, 677
286 : 1, 2, 11, 13, 22, 26, 143, 286
354 : 1, 2, 3, 6, 59, 118, 177, 354
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,286,354,162,509, is 1.
Now, the common factors can be found like this.
677:677
286:2x 11x 13
354:2x 3x 59
162:2x 3x 3x 3x 3
509:509
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 3 = 12
Therefore, the value for common factors is 12.
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 = 5651851738104/(1x12)
LCM = 5651851738104/12
LCM = 470987644842
Thus, we can understand that the LCM of 677,286,354,162,509 is 470987644842.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 677, 286, 354, 162, 509
1. What is the LCM of 677, 286, 354, 162, 509?
Answer: LCM of 677, 286, 354, 162, 509 is 470987644842.
2. How to calculate the LCM of 677, 286, 354, 162, 509?
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 677, 286, 354, 162, 509.
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}.