LCM of 422, 981, 783, 683, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 981, 783, 683, 203 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 422, 981, 783, 683, 203. So, keep reading to learn more.
Given numbers are 422,981,783,683,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,981,783,683,203 is 172194570954.
Find LCM of 422,981,783,683,203 with Prime Factorization
| 3 | 422, 981, 783, 683, 203 |
| 3 | 422, 327, 261, 683, 203 |
| 29 | 422, 109, 87, 683, 203 |
| 422, 109, 3, 683, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 29 x 422 x 109 x 3 x 683 x 7 = 172194570954
Therefore, the lowest common multiple of 422,981,783,683,203 is 172194570954.
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.
422 x 981 x 783 x 683 x 203 = 44942783018994
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.
422 : 1, 2, 211, 422
981 : 1, 3, 9, 109, 327, 981
783 : 1, 3, 9, 27, 29, 87, 261, 783
683 : 1, 683
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,981,783,683,203, is 1.
Now, the common factors can be found like this.
422:2x 211
981:3x 3x 109
783:3x 3x 3x 29
683:683
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 29 = 261
Therefore, the value for common factors is 261.
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 = 44942783018994/(1x261)
LCM = 44942783018994/261
LCM = 172194570954
Thus, we can understand that the LCM of 422,981,783,683,203 is 172194570954.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 981, 783, 683, 203
1. What is the LCM of 422, 981, 783, 683, 203?
Answer: LCM of 422, 981, 783, 683, 203 is 172194570954.
2. How to calculate the LCM of 422, 981, 783, 683, 203?
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 422, 981, 783, 683, 203.
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}.