LCM of 565, 966, 861, 235, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 565, 966, 861, 235, 214 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 565, 966, 861, 235, 214. So, keep reading to learn more.
Given numbers are 565,966,861,235,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,966,861,235,214 is 112535894310.
Find LCM of 565,966,861,235,214 with Prime Factorization
| 2 | 565, 966, 861, 235, 214 |
| 3 | 565, 483, 861, 235, 107 |
| 5 | 565, 161, 287, 235, 107 |
| 7 | 113, 161, 287, 47, 107 |
| 113, 23, 41, 47, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 113 x 23 x 41 x 47 x 107 = 112535894310
Therefore, the lowest common multiple of 565,966,861,235,214 is 112535894310.
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.
565 x 966 x 861 x 235 x 214 = 23632537805100
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.
565 : 1, 5, 113, 565
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
861 : 1, 3, 7, 21, 41, 123, 287, 861
235 : 1, 5, 47, 235
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,966,861,235,214, is 1.
Now, the common factors can be found like this.
565:5x 113
966:2x 3x 7x 23
861:3x 7x 41
235:5x 47
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 23632537805100/(1x210)
LCM = 23632537805100/210
LCM = 112535894310
Thus, we can understand that the LCM of 565,966,861,235,214 is 112535894310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 565, 966, 861, 235, 214
1. What is the LCM of 565, 966, 861, 235, 214?
Answer: LCM of 565, 966, 861, 235, 214 is 112535894310.
2. How to calculate the LCM of 565, 966, 861, 235, 214?
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 565, 966, 861, 235, 214.
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}.