Find the LCM of 847, 783, 871, 130, 456 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, 783, 871, 130, 456. So, keep reading to learn more.
Given numbers are 847,783,871,130,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,783,871,130,456 is 439012533960.
Find LCM of 847,783,871,130,456 with Prime Factorization
2 | 847, 783, 871, 130, 456 |
3 | 847, 783, 871, 65, 228 |
13 | 847, 261, 871, 65, 76 |
847, 261, 67, 5, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 847 x 261 x 67 x 5 x 76 = 439012533960
Therefore, the lowest common multiple of 847,783,871,130,456 is 439012533960.
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 783 x 871 x 130 x 456 = 34242977648880
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
783 : 1, 3, 9, 27, 29, 87, 261, 783
871 : 1, 13, 67, 871
130 : 1, 2, 5, 10, 13, 26, 65, 130
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,783,871,130,456, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
783:3x 3x 3x 29
871:13x 67
130:2x 5x 13
456:2x 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 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 34242977648880/(1x78)
LCM = 34242977648880/78
LCM = 439012533960
Thus, we can understand that the LCM of 847,783,871,130,456 is 439012533960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 847, 783, 871, 130, 456?
Answer: LCM of 847, 783, 871, 130, 456 is 439012533960.
2. How to calculate the LCM of 847, 783, 871, 130, 456?
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, 783, 871, 130, 456.
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}.