Find the LCM of 136, 847, 917, 946, 808 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 136, 847, 917, 946, 808. So, keep reading to learn more.
Given numbers are 136,847,917,946,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,847,917,946,808 is 65536530136.
Find LCM of 136,847,917,946,808 with Prime Factorization
2 | 136, 847, 917, 946, 808 |
2 | 68, 847, 917, 473, 404 |
2 | 34, 847, 917, 473, 202 |
7 | 17, 847, 917, 473, 101 |
11 | 17, 121, 131, 473, 101 |
17, 11, 131, 43, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 17 x 11 x 131 x 43 x 101 = 65536530136
Therefore, the lowest common multiple of 136,847,917,946,808 is 65536530136.
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.
136 x 847 x 917 x 946 x 808 = 80741005127552
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
847 : 1, 7, 11, 77, 121, 847
917 : 1, 7, 131, 917
946 : 1, 2, 11, 22, 43, 86, 473, 946
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,847,917,946,808, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
847:7x 11x 11
917:7x 131
946:2x 11x 43
808:2x 2x 2x 101
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 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 80741005127552/(1x1232)
LCM = 80741005127552/1232
LCM = 65536530136
Thus, we can understand that the LCM of 136,847,917,946,808 is 65536530136.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 136, 847, 917, 946, 808?
Answer: LCM of 136, 847, 917, 946, 808 is 65536530136.
2. How to calculate the LCM of 136, 847, 917, 946, 808?
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 136, 847, 917, 946, 808.
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}.