LCM of 212, 965, 424, 104, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 965, 424, 104, 344 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 212, 965, 424, 104, 344. So, keep reading to learn more.
Given numbers are 212,965,424,104,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,965,424,104,344 is 228720440.
Find LCM of 212,965,424,104,344 with Prime Factorization
| 2 | 212, 965, 424, 104, 344 |
| 2 | 106, 965, 212, 52, 172 |
| 2 | 53, 965, 106, 26, 86 |
| 53 | 53, 965, 53, 13, 43 |
| 1, 965, 1, 13, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 1 x 965 x 1 x 13 x 43 = 228720440
Therefore, the lowest common multiple of 212,965,424,104,344 is 228720440.
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.
212 x 965 x 424 x 104 x 344 = 3103278929920
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.
212 : 1, 2, 4, 53, 106, 212
965 : 1, 5, 193, 965
424 : 1, 2, 4, 8, 53, 106, 212, 424
104 : 1, 2, 4, 8, 13, 26, 52, 104
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,965,424,104,344, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
965:5x 193
424:2x 2x 2x 53
104:2x 2x 2x 13
344:2x 2x 2x 43
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 2x 2x 2x 2x 53 = 13568
Therefore, the value for common factors is 13568.
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 = 3103278929920/(1x13568)
LCM = 3103278929920/13568
LCM = 228720440
Thus, we can understand that the LCM of 212,965,424,104,344 is 228720440.
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FAQs on LCM of 212, 965, 424, 104, 344
1. What is the LCM of 212, 965, 424, 104, 344?
Answer: LCM of 212, 965, 424, 104, 344 is 228720440.
2. How to calculate the LCM of 212, 965, 424, 104, 344?
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 212, 965, 424, 104, 344.
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}.