Find the LCM of 202, 898, 976, 532, 122 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, 898, 976, 532, 122. So, keep reading to learn more.
Given numbers are 202,898,976,532,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,898,976,532,122 is 5886662992.
Find LCM of 202,898,976,532,122 with Prime Factorization
2 | 202, 898, 976, 532, 122 |
2 | 101, 449, 488, 266, 61 |
61 | 101, 449, 244, 133, 61 |
101, 449, 4, 133, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 61 x 101 x 449 x 4 x 133 x 1 = 5886662992
Therefore, the lowest common multiple of 202,898,976,532,122 is 5886662992.
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 898 x 976 x 532 x 122 = 11490766160384
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
898 : 1, 2, 449, 898
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
122 : 1, 2, 61, 122
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,898,976,532,122, is 2.
Now, the common factors can be found like this.
202:2x 101
898:2x 449
976:2x 2x 2x 2x 61
532:2x 2x 7x 19
122:2x 61
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 61 = 976
Therefore, the value for common factors is 976.
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 = 11490766160384/(2x976)
LCM = 11490766160384/1952
LCM = 5886662992
Thus, we can understand that the LCM of 202,898,976,532,122 is 5886662992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 202, 898, 976, 532, 122?
Answer: LCM of 202, 898, 976, 532, 122 is 5886662992.
2. How to calculate the LCM of 202, 898, 976, 532, 122?
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, 898, 976, 532, 122.
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}.