Find the LCM of 852, 198, 203, 893, 921 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 852, 198, 203, 893, 921. So, keep reading to learn more.
Given numbers are 852,198,203,893,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,198,203,893,921 is 1564729991748.
Find LCM of 852,198,203,893,921 with Prime Factorization
2 | 852, 198, 203, 893, 921 |
3 | 426, 99, 203, 893, 921 |
142, 33, 203, 893, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 142 x 33 x 203 x 893 x 307 = 1564729991748
Therefore, the lowest common multiple of 852,198,203,893,921 is 1564729991748.
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.
852 x 198 x 203 x 893 x 921 = 28165139851464
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
203 : 1, 7, 29, 203
893 : 1, 19, 47, 893
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,198,203,893,921, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
198:2x 3x 3x 11
203:7x 29
893:19x 47
921:3x 307
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 3 = 18
Therefore, the value for common factors is 18.
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 = 28165139851464/(1x18)
LCM = 28165139851464/18
LCM = 1564729991748
Thus, we can understand that the LCM of 852,198,203,893,921 is 1564729991748.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 852, 198, 203, 893, 921?
Answer: LCM of 852, 198, 203, 893, 921 is 1564729991748.
2. How to calculate the LCM of 852, 198, 203, 893, 921?
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 852, 198, 203, 893, 921.
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}.