Find the LCM of 226, 982, 627, 730, 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 226, 982, 627, 730, 946. So, keep reading to learn more.
Given numbers are 226,982,627,730,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,982,627,730,946 is 1091990328990.
Find LCM of 226,982,627,730,946 with Prime Factorization
2 | 226, 982, 627, 730, 946 |
11 | 113, 491, 627, 365, 473 |
113, 491, 57, 365, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 113 x 491 x 57 x 365 x 43 = 1091990328990
Therefore, the lowest common multiple of 226,982,627,730,946 is 1091990328990.
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.
226 x 982 x 627 x 730 x 946 = 96095148951120
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.
226 : 1, 2, 113, 226
982 : 1, 2, 491, 982
627 : 1, 3, 11, 19, 33, 57, 209, 627
730 : 1, 2, 5, 10, 73, 146, 365, 730
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 226,982,627,730,946, is 1.
Now, the common factors can be found like this.
226:2x 113
982:2x 491
627:3x 11x 19
730:2x 5x 73
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 2x 2x 11 = 88
Therefore, the value for common factors is 88.
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 = 96095148951120/(1x88)
LCM = 96095148951120/88
LCM = 1091990328990
Thus, we can understand that the LCM of 226,982,627,730,946 is 1091990328990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 226, 982, 627, 730, 946?
Answer: LCM of 226, 982, 627, 730, 946 is 1091990328990.
2. How to calculate the LCM of 226, 982, 627, 730, 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 226, 982, 627, 730, 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}.