Find the LCM of 12, 81, 54, 49, 847 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 12, 81, 54, 49, 847. So, keep reading to learn more.
Given numbers are 12,81,54,49,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 12,81,54,49,847 is 1920996.
Find LCM of 12,81,54,49,847 with Prime Factorization
2 | 12, 81, 54, 49, 847 |
3 | 6, 81, 27, 49, 847 |
3 | 2, 9, 27, 49, 847 |
3 | 2, 3, 9, 49, 847 |
7 | 2, 1, 3, 49, 847 |
2, 1, 3, 7, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 2 x 1 x 3 x 7 x 121 = 1920996
Therefore, the lowest common multiple of 12,81,54,49,847 is 1920996.
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.
12 x 81 x 54 x 49 x 847 = 2178409464
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.
12 : 1, 2, 3, 4, 6, 12
81 : 1, 3, 9, 27, 81
54 : 1, 2, 3, 6, 9, 18, 27, 54
49 : 1, 7, 49
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 12,81,54,49,847, is 1.
Now, the common factors can be found like this.
12:2x 2x 3
81:3x 3x 3x 3
54:2x 3x 3x 3
49:7x 7
847:7x 11x 11
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 3x 3x 3x 7 = 1134
Therefore, the value for common factors is 1134.
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 = 2178409464/(1x1134)
LCM = 2178409464/1134
LCM = 1920996
Thus, we can understand that the LCM of 12,81,54,49,847 is 1920996.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 12, 81, 54, 49, 847?
Answer: LCM of 12, 81, 54, 49, 847 is 1920996.
2. How to calculate the LCM of 12, 81, 54, 49, 847?
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 12, 81, 54, 49, 847.
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}.