LCM of 305, 655, 338, 917, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 655, 338, 917, 260 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 305, 655, 338, 917, 260. So, keep reading to learn more.
Given numbers are 305,655,338,917,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,655,338,917,260 is 189067060.
Find LCM of 305,655,338,917,260 with Prime Factorization
| 2 | 305, 655, 338, 917, 260 |
| 5 | 305, 655, 169, 917, 130 |
| 13 | 61, 131, 169, 917, 26 |
| 131 | 61, 131, 13, 917, 2 |
| 61, 1, 13, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 131 x 61 x 1 x 13 x 7 x 2 = 189067060
Therefore, the lowest common multiple of 305,655,338,917,260 is 189067060.
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.
305 x 655 x 338 x 917 x 260 = 16099060159000
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.
305 : 1, 5, 61, 305
655 : 1, 5, 131, 655
338 : 1, 2, 13, 26, 169, 338
917 : 1, 7, 131, 917
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,655,338,917,260, is 1.
Now, the common factors can be found like this.
305:5x 61
655:5x 131
338:2x 13x 13
917:7x 131
260:2x 2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 13x 131 = 85150
Therefore, the value for common factors is 85150.
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 = 16099060159000/(1x85150)
LCM = 16099060159000/85150
LCM = 189067060
Thus, we can understand that the LCM of 305,655,338,917,260 is 189067060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 655, 338, 917, 260
1. What is the LCM of 305, 655, 338, 917, 260?
Answer: LCM of 305, 655, 338, 917, 260 is 189067060.
2. How to calculate the LCM of 305, 655, 338, 917, 260?
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 305, 655, 338, 917, 260.
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}.