Find the LCM of 910, 252, 491, 732, 199 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 910, 252, 491, 732, 199. So, keep reading to learn more.
Given numbers are 910,252,491,732,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,252,491,732,199 is 97628878620.
Find LCM of 910,252,491,732,199 with Prime Factorization
2 | 910, 252, 491, 732, 199 |
2 | 455, 126, 491, 366, 199 |
3 | 455, 63, 491, 183, 199 |
7 | 455, 21, 491, 61, 199 |
65, 3, 491, 61, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 65 x 3 x 491 x 61 x 199 = 97628878620
Therefore, the lowest common multiple of 910,252,491,732,199 is 97628878620.
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.
910 x 252 x 491 x 732 x 199 = 16401651608160
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
491 : 1, 491
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,252,491,732,199, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
252:2x 2x 3x 3x 7
491:491
732:2x 2x 3x 61
199:199
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 7 = 168
Therefore, the value for common factors is 168.
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 = 16401651608160/(1x168)
LCM = 16401651608160/168
LCM = 97628878620
Thus, we can understand that the LCM of 910,252,491,732,199 is 97628878620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 252, 491, 732, 199?
Answer: LCM of 910, 252, 491, 732, 199 is 97628878620.
2. How to calculate the LCM of 910, 252, 491, 732, 199?
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 910, 252, 491, 732, 199.
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}.