LCM of 561, 341, 680, 953, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 341, 680, 953, 259 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 561, 341, 680, 953, 259. So, keep reading to learn more.
Given numbers are 561,341,680,953,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,341,680,953,259 is 171702734280.
Find LCM of 561,341,680,953,259 with Prime Factorization
| 11 | 561, 341, 680, 953, 259 |
| 17 | 51, 31, 680, 953, 259 |
| 3, 31, 40, 953, 259 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 3 x 31 x 40 x 953 x 259 = 171702734280
Therefore, the lowest common multiple of 561,341,680,953,259 is 171702734280.
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.
561 x 341 x 680 x 953 x 259 = 32108411310360
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
341 : 1, 11, 31, 341
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
953 : 1, 953
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,341,680,953,259, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
341:11x 31
680:2x 2x 2x 5x 17
953:953
259:7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 32108411310360/(1x187)
LCM = 32108411310360/187
LCM = 171702734280
Thus, we can understand that the LCM of 561,341,680,953,259 is 171702734280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 341, 680, 953, 259
1. What is the LCM of 561, 341, 680, 953, 259?
Answer: LCM of 561, 341, 680, 953, 259 is 171702734280.
2. How to calculate the LCM of 561, 341, 680, 953, 259?
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 561, 341, 680, 953, 259.
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}.