LCM of 419, 837, 558, 913, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 419, 837, 558, 913, 946 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 419, 837, 558, 913, 946. So, keep reading to learn more.
Given numbers are 419,837,558,913,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 419,837,558,913,946 is 27536498154.
Find LCM of 419,837,558,913,946 with Prime Factorization
| 2 | 419, 837, 558, 913, 946 |
| 3 | 419, 837, 279, 913, 473 |
| 3 | 419, 93, 279, 913, 473 |
| 11 | 419, 31, 93, 913, 473 |
| 31 | 419, 31, 93, 83, 43 |
| 419, 1, 3, 83, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 31 x 419 x 1 x 3 x 83 x 43 = 27536498154
Therefore, the lowest common multiple of 419,837,558,913,946 is 27536498154.
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.
419 x 837 x 558 x 913 x 946 = 169019025669252
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.
419 : 1, 419
837 : 1, 3, 9, 27, 31, 93, 279, 837
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
913 : 1, 11, 83, 913
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,837,558,913,946, is 1.
Now, the common factors can be found like this.
419:419
837:3x 3x 3x 31
558:2x 3x 3x 31
913:11x 83
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 31 = 6138
Therefore, the value for common factors is 6138.
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 = 169019025669252/(1x6138)
LCM = 169019025669252/6138
LCM = 27536498154
Thus, we can understand that the LCM of 419,837,558,913,946 is 27536498154.
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FAQs on LCM of 419, 837, 558, 913, 946
1. What is the LCM of 419, 837, 558, 913, 946?
Answer: LCM of 419, 837, 558, 913, 946 is 27536498154.
2. How to calculate the LCM of 419, 837, 558, 913, 946?
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 419, 837, 558, 913, 946.
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}.