Find the LCM of 302, 370, 663, 809, 228 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 302, 370, 663, 809, 228. So, keep reading to learn more.
Given numbers are 302,370,663,809,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,370,663,809,228 is 1138739323020.
Find LCM of 302,370,663,809,228 with Prime Factorization
2 | 302, 370, 663, 809, 228 |
3 | 151, 185, 663, 809, 114 |
151, 185, 221, 809, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 185 x 221 x 809 x 38 = 1138739323020
Therefore, the lowest common multiple of 302,370,663,809,228 is 1138739323020.
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.
302 x 370 x 663 x 809 x 228 = 13664871876240
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.
302 : 1, 2, 151, 302
370 : 1, 2, 5, 10, 37, 74, 185, 370
663 : 1, 3, 13, 17, 39, 51, 221, 663
809 : 1, 809
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,370,663,809,228, is 1.
Now, the common factors can be found like this.
302:2x 151
370:2x 5x 37
663:3x 13x 17
809:809
228:2x 2x 3x 19
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 3 = 12
Therefore, the value for common factors is 12.
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 = 13664871876240/(1x12)
LCM = 13664871876240/12
LCM = 1138739323020
Thus, we can understand that the LCM of 302,370,663,809,228 is 1138739323020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 302, 370, 663, 809, 228?
Answer: LCM of 302, 370, 663, 809, 228 is 1138739323020.
2. How to calculate the LCM of 302, 370, 663, 809, 228?
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 302, 370, 663, 809, 228.
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}.