Find the LCM of 847, 781, 796, 199, 949 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 847, 781, 796, 199, 949. So, keep reading to learn more.
Given numbers are 847,781,796,199,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,781,796,199,949 is 45427730348.
Find LCM of 847,781,796,199,949 with Prime Factorization
11 | 847, 781, 796, 199, 949 |
199 | 77, 71, 796, 199, 949 |
77, 71, 4, 1, 949 |
Multiply the prime numbers at the bottom and the left side.
11 x 199 x 77 x 71 x 4 x 1 x 949 = 45427730348
Therefore, the lowest common multiple of 847,781,796,199,949 is 45427730348.
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.
847 x 781 x 796 x 199 x 949 = 99441301731772
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.
847 : 1, 7, 11, 77, 121, 847
781 : 1, 11, 71, 781
796 : 1, 2, 4, 199, 398, 796
199 : 1, 199
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,781,796,199,949, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
781:11x 71
796:2x 2x 199
199:199
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 199 = 2189
Therefore, the value for common factors is 2189.
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 = 99441301731772/(1x2189)
LCM = 99441301731772/2189
LCM = 45427730348
Thus, we can understand that the LCM of 847,781,796,199,949 is 45427730348.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 847, 781, 796, 199, 949?
Answer: LCM of 847, 781, 796, 199, 949 is 45427730348.
2. How to calculate the LCM of 847, 781, 796, 199, 949?
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 847, 781, 796, 199, 949.
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}.