LCM of 841, 845, 456, 646, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 845, 456, 646, 221 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 841, 845, 456, 646, 221. So, keep reading to learn more.
Given numbers are 841,845,456,646,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,845,456,646,221 is 5508920040.
Find LCM of 841,845,456,646,221 with Prime Factorization
| 2 | 841, 845, 456, 646, 221 |
| 13 | 841, 845, 228, 323, 221 |
| 17 | 841, 65, 228, 323, 17 |
| 19 | 841, 65, 228, 19, 1 |
| 841, 65, 12, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 19 x 841 x 65 x 12 x 1 x 1 = 5508920040
Therefore, the lowest common multiple of 841,845,456,646,221 is 5508920040.
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.
841 x 845 x 456 x 646 x 221 = 46263910495920
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.
841 : 1, 29, 841
845 : 1, 5, 13, 65, 169, 845
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
646 : 1, 2, 17, 19, 34, 38, 323, 646
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,845,456,646,221, is 1.
Now, the common factors can be found like this.
841:29x 29
845:5x 13x 13
456:2x 2x 2x 3x 19
646:2x 17x 19
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17x 19 = 8398
Therefore, the value for common factors is 8398.
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 = 46263910495920/(1x8398)
LCM = 46263910495920/8398
LCM = 5508920040
Thus, we can understand that the LCM of 841,845,456,646,221 is 5508920040.
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FAQs on LCM of 841, 845, 456, 646, 221
1. What is the LCM of 841, 845, 456, 646, 221?
Answer: LCM of 841, 845, 456, 646, 221 is 5508920040.
2. How to calculate the LCM of 841, 845, 456, 646, 221?
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 841, 845, 456, 646, 221.
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}.