LCM of 221, 322, 441, 782, 611
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 322, 441, 782, 611 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, 322, 441, 782, 611. So, keep reading to learn more.
Given numbers are 221,322,441,782,611
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,322,441,782,611 is 210710682.
Find LCM of 221,322,441,782,611 with Prime Factorization
| 2 | 221, 322, 441, 782, 611 |
| 7 | 221, 161, 441, 391, 611 |
| 13 | 221, 23, 63, 391, 611 |
| 17 | 17, 23, 63, 391, 47 |
| 23 | 1, 23, 63, 23, 47 |
| 1, 1, 63, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 17 x 23 x 1 x 1 x 63 x 1 x 47 = 210710682
Therefore, the lowest common multiple of 221,322,441,782,611 is 210710682.
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 322 x 441 x 782 x 611 = 14994593552484
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
322 : 1, 2, 7, 14, 23, 46, 161, 322
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
782 : 1, 2, 17, 23, 34, 46, 391, 782
611 : 1, 13, 47, 611
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,322,441,782,611, is 1.
Now, the common factors can be found like this.
221:13x 17
322:2x 7x 23
441:3x 3x 7x 7
782:2x 17x 23
611:13x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 13x 17x 23 = 71162
Therefore, the value for common factors is 71162.
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 = 14994593552484/(1x71162)
LCM = 14994593552484/71162
LCM = 210710682
Thus, we can understand that the LCM of 221,322,441,782,611 is 210710682.
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FAQs on LCM of 221, 322, 441, 782, 611
1. What is the LCM of 221, 322, 441, 782, 611?
Answer: LCM of 221, 322, 441, 782, 611 is 210710682.
2. How to calculate the LCM of 221, 322, 441, 782, 611?
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, 322, 441, 782, 611.
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}.