Find the LCM of 848, 777, 589, 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, 777, 589, 912. So, keep reading to learn more.
Given numbers are 848,777,589,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,777,589,912 is 388089744.
Find LCM of 848,777,589,912 with Prime Factorization
2 | 848, 777, 589, 912 |
2 | 424, 777, 589, 456 |
2 | 212, 777, 589, 228 |
2 | 106, 777, 589, 114 |
3 | 53, 777, 589, 57 |
19 | 53, 259, 589, 19 |
53, 259, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 53 x 259 x 31 x 1 = 388089744
Therefore, the lowest common multiple of 848,777,589,912 is 388089744.
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 777 x 589 x 912 = 353937846528
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
777 : 1, 3, 7, 21, 37, 111, 259, 777
589 : 1, 19, 31, 589
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 848,777,589,912, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
777:3x 7x 37
589:19x 31
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 3x 19 = 912
Therefore, the value for common factors is 912.
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 = 353937846528/(1x912)
LCM = 353937846528/912
LCM = 388089744
Thus, we can understand that the LCM of 848,777,589,912 is 388089744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 848, 777, 589, 912?
Answer: LCM of 848, 777, 589, 912 is 388089744.
2. How to calculate the LCM of 848, 777, 589, 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, 777, 589, 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}.