Find the LCM of 226, 517, 658, 305, 672 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, 517, 658, 305, 672. So, keep reading to learn more.
Given numbers are 226,517,658,305,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 226,517,658,305,672 is 11973968160.
Find LCM of 226,517,658,305,672 with Prime Factorization
2 | 226, 517, 658, 305, 672 |
7 | 113, 517, 329, 305, 336 |
47 | 113, 517, 47, 305, 48 |
113, 11, 1, 305, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 47 x 113 x 11 x 1 x 305 x 48 = 11973968160
Therefore, the lowest common multiple of 226,517,658,305,672 is 11973968160.
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 517 x 658 x 305 x 672 = 15757742098560
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
517 : 1, 11, 47, 517
658 : 1, 2, 7, 14, 47, 94, 329, 658
305 : 1, 5, 61, 305
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 226,517,658,305,672, is 1.
Now, the common factors can be found like this.
226:2x 113
517:11x 47
658:2x 7x 47
305:5x 61
672:2x 2x 2x 2x 2x 3x 7
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 7x 47 = 1316
Therefore, the value for common factors is 1316.
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 = 15757742098560/(1x1316)
LCM = 15757742098560/1316
LCM = 11973968160
Thus, we can understand that the LCM of 226,517,658,305,672 is 11973968160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 226, 517, 658, 305, 672?
Answer: LCM of 226, 517, 658, 305, 672 is 11973968160.
2. How to calculate the LCM of 226, 517, 658, 305, 672?
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, 517, 658, 305, 672.
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}.