Find the LCM of 844, 536, 891, 342, 513 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 844, 536, 891, 342, 513. So, keep reading to learn more.
Given numbers are 844,536,891,342,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,536,891,342,513 is 1914602184.
Find LCM of 844,536,891,342,513 with Prime Factorization
2 | 844, 536, 891, 342, 513 |
2 | 422, 268, 891, 171, 513 |
3 | 211, 134, 891, 171, 513 |
3 | 211, 134, 297, 57, 171 |
3 | 211, 134, 99, 19, 57 |
19 | 211, 134, 33, 19, 19 |
211, 134, 33, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 19 x 211 x 134 x 33 x 1 x 1 = 1914602184
Therefore, the lowest common multiple of 844,536,891,342,513 is 1914602184.
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.
844 x 536 x 891 x 342 x 513 = 70717746268224
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.
844 : 1, 2, 4, 211, 422, 844
536 : 1, 2, 4, 8, 67, 134, 268, 536
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,536,891,342,513, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
536:2x 2x 2x 67
891:3x 3x 3x 3x 11
342:2x 3x 3x 19
513:3x 3x 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 2x 3x 3x 3x 3x 3x 19 = 36936
Therefore, the value for common factors is 36936.
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 = 70717746268224/(1x36936)
LCM = 70717746268224/36936
LCM = 1914602184
Thus, we can understand that the LCM of 844,536,891,342,513 is 1914602184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 844, 536, 891, 342, 513?
Answer: LCM of 844, 536, 891, 342, 513 is 1914602184.
2. How to calculate the LCM of 844, 536, 891, 342, 513?
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 844, 536, 891, 342, 513.
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}.