LCM of 913, 583, 808, 202
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 583, 808, 202 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 913, 583, 808, 202. So, keep reading to learn more.
Given numbers are 913,583,808,202
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,583,808,202 is 39098312.
Find LCM of 913,583,808,202 with Prime Factorization
| 2 | 913, 583, 808, 202 |
| 11 | 913, 583, 404, 101 |
| 101 | 83, 53, 404, 101 |
| 83, 53, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 101 x 83 x 53 x 4 x 1 = 39098312
Therefore, the lowest common multiple of 913,583,808,202 is 39098312.
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.
913 x 583 x 808 x 202 = 86876449264
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.
913 : 1, 11, 83, 913
583 : 1, 11, 53, 583
808 : 1, 2, 4, 8, 101, 202, 404, 808
202 : 1, 2, 101, 202
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,583,808,202, is 1.
Now, the common factors can be found like this.
913:11x 83
583:11x 53
808:2x 2x 2x 101
202:2x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 101 = 2222
Therefore, the value for common factors is 2222.
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 = 86876449264/(1x2222)
LCM = 86876449264/2222
LCM = 39098312
Thus, we can understand that the LCM of 913,583,808,202 is 39098312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 583, 808, 202
1. What is the LCM of 913, 583, 808, 202?
Answer: LCM of 913, 583, 808, 202 is 39098312.
2. How to calculate the LCM of 913, 583, 808, 202?
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 913, 583, 808, 202.
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}.