Find the LCM of 848, 235, 458, 936, 912 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 848, 235, 458, 936, 912. So, keep reading to learn more.
Given numbers are 848,235,458,936,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,235,458,936,912 is 101446871760.
Find LCM of 848,235,458,936,912 with Prime Factorization
2 | 848, 235, 458, 936, 912 |
2 | 424, 235, 229, 468, 456 |
2 | 212, 235, 229, 234, 228 |
2 | 106, 235, 229, 117, 114 |
3 | 53, 235, 229, 117, 57 |
53, 235, 229, 39, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 53 x 235 x 229 x 39 x 19 = 101446871760
Therefore, the lowest common multiple of 848,235,458,936,912 is 101446871760.
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.
848 x 235 x 458 x 936 x 912 = 77911197511680
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
235 : 1, 5, 47, 235
458 : 1, 2, 229, 458
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,235,458,936,912, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
235:5x 47
458:2x 229
936:2x 2x 2x 3x 3x 13
912:2x 2x 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 2x 2x 2x 2x 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 77911197511680/(1x768)
LCM = 77911197511680/768
LCM = 101446871760
Thus, we can understand that the LCM of 848,235,458,936,912 is 101446871760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 848, 235, 458, 936, 912?
Answer: LCM of 848, 235, 458, 936, 912 is 101446871760.
2. How to calculate the LCM of 848, 235, 458, 936, 912?
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 848, 235, 458, 936, 912.
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}.