LCM of 659, 262, 969, 214, 131
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 262, 969, 214, 131 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 659, 262, 969, 214, 131. So, keep reading to learn more.
Given numbers are 659,262,969,214,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,262,969,214,131 is 17901699414.
Find LCM of 659,262,969,214,131 with Prime Factorization
| 2 | 659, 262, 969, 214, 131 |
| 131 | 659, 131, 969, 107, 131 |
| 659, 1, 969, 107, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 659 x 1 x 969 x 107 x 1 = 17901699414
Therefore, the lowest common multiple of 659,262,969,214,131 is 17901699414.
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.
659 x 262 x 969 x 214 x 131 = 4690245246468
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.
659 : 1, 659
262 : 1, 2, 131, 262
969 : 1, 3, 17, 19, 51, 57, 323, 969
214 : 1, 2, 107, 214
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,262,969,214,131, is 1.
Now, the common factors can be found like this.
659:659
262:2x 131
969:3x 17x 19
214:2x 107
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 131 = 262
Therefore, the value for common factors is 262.
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 = 4690245246468/(1x262)
LCM = 4690245246468/262
LCM = 17901699414
Thus, we can understand that the LCM of 659,262,969,214,131 is 17901699414.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 659, 262, 969, 214, 131
1. What is the LCM of 659, 262, 969, 214, 131?
Answer: LCM of 659, 262, 969, 214, 131 is 17901699414.
2. How to calculate the LCM of 659, 262, 969, 214, 131?
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 659, 262, 969, 214, 131.
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}.