LCM of 221, 946, 111, 570, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 946, 111, 570, 880 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 221, 946, 111, 570, 880. So, keep reading to learn more.
Given numbers are 221,946,111,570,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,946,111,570,880 is 17636807760.
Find LCM of 221,946,111,570,880 with Prime Factorization
| 2 | 221, 946, 111, 570, 880 |
| 3 | 221, 473, 111, 285, 440 |
| 5 | 221, 473, 37, 95, 440 |
| 11 | 221, 473, 37, 19, 88 |
| 221, 43, 37, 19, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 221 x 43 x 37 x 19 x 8 = 17636807760
Therefore, the lowest common multiple of 221,946,111,570,880 is 17636807760.
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.
221 x 946 x 111 x 570 x 880 = 11640293121600
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.
221 : 1, 13, 17, 221
946 : 1, 2, 11, 22, 43, 86, 473, 946
111 : 1, 3, 37, 111
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,946,111,570,880, is 1.
Now, the common factors can be found like this.
221:13x 17
946:2x 11x 43
111:3x 37
570:2x 3x 5x 19
880:2x 2x 2x 2x 5x 11
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 3x 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 11640293121600/(1x660)
LCM = 11640293121600/660
LCM = 17636807760
Thus, we can understand that the LCM of 221,946,111,570,880 is 17636807760.
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FAQs on LCM of 221, 946, 111, 570, 880
1. What is the LCM of 221, 946, 111, 570, 880?
Answer: LCM of 221, 946, 111, 570, 880 is 17636807760.
2. How to calculate the LCM of 221, 946, 111, 570, 880?
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 221, 946, 111, 570, 880.
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}.