LCM of 202, 404, 852, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 404, 852, 916 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 202, 404, 852, 916. So, keep reading to learn more.
Given numbers are 202,404,852,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,404,852,916 is 19705908.
Find LCM of 202,404,852,916 with Prime Factorization
| 2 | 202, 404, 852, 916 |
| 2 | 101, 202, 426, 458 |
| 101 | 101, 101, 213, 229 |
| 1, 1, 213, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 101 x 1 x 1 x 213 x 229 = 19705908
Therefore, the lowest common multiple of 202,404,852,916 is 19705908.
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.
202 x 404 x 852 x 916 = 63689494656
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.
202 : 1, 2, 101, 202
404 : 1, 2, 4, 101, 202, 404
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
916 : 1, 2, 4, 229, 458, 916
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,404,852,916, is 2.
Now, the common factors can be found like this.
202:2x 101
404:2x 2x 101
852:2x 2x 3x 71
916:2x 2x 229
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 2x 101 = 1616
Therefore, the value for common factors is 1616.
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 = 63689494656/(2x1616)
LCM = 63689494656/3232
LCM = 19705908
Thus, we can understand that the LCM of 202,404,852,916 is 19705908.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 202, 404, 852, 916
1. What is the LCM of 202, 404, 852, 916?
Answer: LCM of 202, 404, 852, 916 is 19705908.
2. How to calculate the LCM of 202, 404, 852, 916?
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 202, 404, 852, 916.
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}.