Find the LCM of 491, 224, 536, 939, 324 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 491, 224, 536, 939, 324. So, keep reading to learn more.
Given numbers are 491,224,536,939,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,224,536,939,324 is 186824431584.
Find LCM of 491,224,536,939,324 with Prime Factorization
2 | 491, 224, 536, 939, 324 |
2 | 491, 112, 268, 939, 162 |
2 | 491, 56, 134, 939, 81 |
3 | 491, 28, 67, 939, 81 |
491, 28, 67, 313, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 491 x 28 x 67 x 313 x 27 = 186824431584
Therefore, the lowest common multiple of 491,224,536,939,324 is 186824431584.
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.
491 x 224 x 536 x 939 x 324 = 17935145432064
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.
491 : 1, 491
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
536 : 1, 2, 4, 8, 67, 134, 268, 536
939 : 1, 3, 313, 939
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,224,536,939,324, is 1.
Now, the common factors can be found like this.
491:491
224:2x 2x 2x 2x 2x 7
536:2x 2x 2x 67
939:3x 313
324:2x 2x 3x 3x 3x 3
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 17935145432064/(1x96)
LCM = 17935145432064/96
LCM = 186824431584
Thus, we can understand that the LCM of 491,224,536,939,324 is 186824431584.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 224, 536, 939, 324?
Answer: LCM of 491, 224, 536, 939, 324 is 186824431584.
2. How to calculate the LCM of 491, 224, 536, 939, 324?
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 491, 224, 536, 939, 324.
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}.