Find the LCM of 912, 852, 921, 884, 355 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 912, 852, 921, 884, 355. So, keep reading to learn more.
Given numbers are 912,852,921,884,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,852,921,884,355 is 21966144720.
Find LCM of 912,852,921,884,355 with Prime Factorization
2 | 912, 852, 921, 884, 355 |
2 | 456, 426, 921, 442, 355 |
3 | 228, 213, 921, 221, 355 |
71 | 76, 71, 307, 221, 355 |
76, 1, 307, 221, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 76 x 1 x 307 x 221 x 5 = 21966144720
Therefore, the lowest common multiple of 912,852,921,884,355 is 21966144720.
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.
912 x 852 x 921 x 884 x 355 = 224581863617280
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
921 : 1, 3, 307, 921
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,852,921,884,355, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
852:2x 2x 3x 71
921:3x 307
884:2x 2x 13x 17
355:5x 71
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 2x 2x 3x 3x 71 = 10224
Therefore, the value for common factors is 10224.
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 = 224581863617280/(1x10224)
LCM = 224581863617280/10224
LCM = 21966144720
Thus, we can understand that the LCM of 912,852,921,884,355 is 21966144720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 912, 852, 921, 884, 355?
Answer: LCM of 912, 852, 921, 884, 355 is 21966144720.
2. How to calculate the LCM of 912, 852, 921, 884, 355?
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 912, 852, 921, 884, 355.
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}.