LCM of 398, 818, 351, 666, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 818, 351, 666, 234 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 398, 818, 351, 666, 234. So, keep reading to learn more.
Given numbers are 398,818,351,666,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,818,351,666,234 is 2114049834.
Find LCM of 398,818,351,666,234 with Prime Factorization
| 2 | 398, 818, 351, 666, 234 |
| 3 | 199, 409, 351, 333, 117 |
| 3 | 199, 409, 39, 111, 117 |
| 13 | 199, 409, 13, 37, 39 |
| 199, 409, 1, 37, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 199 x 409 x 1 x 37 x 3 = 2114049834
Therefore, the lowest common multiple of 398,818,351,666,234 is 2114049834.
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.
398 x 818 x 351 x 666 x 234 = 17808755801616
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.
398 : 1, 2, 199, 398
818 : 1, 2, 409, 818
351 : 1, 3, 9, 13, 27, 39, 117, 351
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,818,351,666,234, is 1.
Now, the common factors can be found like this.
398:2x 199
818:2x 409
351:3x 3x 3x 13
666:2x 3x 3x 37
234:2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 3x 13 = 8424
Therefore, the value for common factors is 8424.
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 = 17808755801616/(1x8424)
LCM = 17808755801616/8424
LCM = 2114049834
Thus, we can understand that the LCM of 398,818,351,666,234 is 2114049834.
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FAQs on LCM of 398, 818, 351, 666, 234
1. What is the LCM of 398, 818, 351, 666, 234?
Answer: LCM of 398, 818, 351, 666, 234 is 2114049834.
2. How to calculate the LCM of 398, 818, 351, 666, 234?
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 398, 818, 351, 666, 234.
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}.