LCM of 454, 343, 791, 698, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 343, 791, 698, 227 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 454, 343, 791, 698, 227. So, keep reading to learn more.
Given numbers are 454,343,791,698,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,343,791,698,227 is 6141208514.
Find LCM of 454,343,791,698,227 with Prime Factorization
| 2 | 454, 343, 791, 698, 227 |
| 7 | 227, 343, 791, 349, 227 |
| 227 | 227, 49, 113, 349, 227 |
| 1, 49, 113, 349, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 227 x 1 x 49 x 113 x 349 x 1 = 6141208514
Therefore, the lowest common multiple of 454,343,791,698,227 is 6141208514.
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.
454 x 343 x 791 x 698 x 227 = 19516760657492
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.
454 : 1, 2, 227, 454
343 : 1, 7, 49, 343
791 : 1, 7, 113, 791
698 : 1, 2, 349, 698
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,343,791,698,227, is 1.
Now, the common factors can be found like this.
454:2x 227
343:7x 7x 7
791:7x 113
698:2x 349
227:227
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 227 = 3178
Therefore, the value for common factors is 3178.
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 = 19516760657492/(1x3178)
LCM = 19516760657492/3178
LCM = 6141208514
Thus, we can understand that the LCM of 454,343,791,698,227 is 6141208514.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 454, 343, 791, 698, 227
1. What is the LCM of 454, 343, 791, 698, 227?
Answer: LCM of 454, 343, 791, 698, 227 is 6141208514.
2. How to calculate the LCM of 454, 343, 791, 698, 227?
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 454, 343, 791, 698, 227.
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}.