Find the LCM of 893, 889, 315, 922, 309 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 893, 889, 315, 922, 309. So, keep reading to learn more.
Given numbers are 893,889,315,922,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,889,315,922,309 is 3392609543190.
Find LCM of 893,889,315,922,309 with Prime Factorization
3 | 893, 889, 315, 922, 309 |
7 | 893, 889, 105, 922, 103 |
893, 127, 15, 922, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 893 x 127 x 15 x 922 x 103 = 3392609543190
Therefore, the lowest common multiple of 893,889,315,922,309 is 3392609543190.
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.
893 x 889 x 315 x 922 x 309 = 71244800406990
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.
893 : 1, 19, 47, 893
889 : 1, 7, 127, 889
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
922 : 1, 2, 461, 922
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,889,315,922,309, is 1.
Now, the common factors can be found like this.
893:19x 47
889:7x 127
315:3x 3x 5x 7
922:2x 461
309:3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 71244800406990/(1x21)
LCM = 71244800406990/21
LCM = 3392609543190
Thus, we can understand that the LCM of 893,889,315,922,309 is 3392609543190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 893, 889, 315, 922, 309?
Answer: LCM of 893, 889, 315, 922, 309 is 3392609543190.
2. How to calculate the LCM of 893, 889, 315, 922, 309?
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 893, 889, 315, 922, 309.
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}.