Find the LCM of 894, 198, 223, 973, 786 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 894, 198, 223, 973, 786. So, keep reading to learn more.
Given numbers are 894,198,223,973,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,198,223,973,786 is 838572193998.
Find LCM of 894,198,223,973,786 with Prime Factorization
2 | 894, 198, 223, 973, 786 |
3 | 447, 99, 223, 973, 393 |
149, 33, 223, 973, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 33 x 223 x 973 x 131 = 838572193998
Therefore, the lowest common multiple of 894,198,223,973,786 is 838572193998.
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.
894 x 198 x 223 x 973 x 786 = 30188598983928
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
223 : 1, 223
973 : 1, 7, 139, 973
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,198,223,973,786, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
198:2x 3x 3x 11
223:223
973:7x 139
786:2x 3x 131
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 30188598983928/(1x36)
LCM = 30188598983928/36
LCM = 838572193998
Thus, we can understand that the LCM of 894,198,223,973,786 is 838572193998.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 198, 223, 973, 786?
Answer: LCM of 894, 198, 223, 973, 786 is 838572193998.
2. How to calculate the LCM of 894, 198, 223, 973, 786?
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 894, 198, 223, 973, 786.
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}.