LCM of 443, 428, 981, 357, 223
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 428, 981, 357, 223 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 443, 428, 981, 357, 223. So, keep reading to learn more.
Given numbers are 443,428,981,357,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,428,981,357,223 is 4935922442388.
Find LCM of 443,428,981,357,223 with Prime Factorization
| 3 | 443, 428, 981, 357, 223 |
| 443, 428, 327, 119, 223 |
Multiply the prime numbers at the bottom and the left side.
3 x 443 x 428 x 327 x 119 x 223 = 4935922442388
Therefore, the lowest common multiple of 443,428,981,357,223 is 4935922442388.
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.
443 x 428 x 981 x 357 x 223 = 14807767327164
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.
443 : 1, 443
428 : 1, 2, 4, 107, 214, 428
981 : 1, 3, 9, 109, 327, 981
357 : 1, 3, 7, 17, 21, 51, 119, 357
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,428,981,357,223, is 1.
Now, the common factors can be found like this.
443:443
428:2x 2x 107
981:3x 3x 109
357:3x 7x 17
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 14807767327164/(1x3)
LCM = 14807767327164/3
LCM = 4935922442388
Thus, we can understand that the LCM of 443,428,981,357,223 is 4935922442388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 443, 428, 981, 357, 223
1. What is the LCM of 443, 428, 981, 357, 223?
Answer: LCM of 443, 428, 981, 357, 223 is 4935922442388.
2. How to calculate the LCM of 443, 428, 981, 357, 223?
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 443, 428, 981, 357, 223.
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}.