Find the LCM of 212, 735, 646, 936, 417 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, 735, 646, 936, 417. So, keep reading to learn more.
Given numbers are 212,735,646,936,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,735,646,936,417 is 545676342120.
Find LCM of 212,735,646,936,417 with Prime Factorization
2 | 212, 735, 646, 936, 417 |
2 | 106, 735, 323, 468, 417 |
3 | 53, 735, 323, 234, 417 |
53, 245, 323, 78, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 245 x 323 x 78 x 139 = 545676342120
Therefore, the lowest common multiple of 212,735,646,936,417 is 545676342120.
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 735 x 646 x 936 x 417 = 39288696632640
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
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
646 : 1, 2, 17, 19, 34, 38, 323, 646
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,735,646,936,417, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
735:3x 5x 7x 7
646:2x 17x 19
936:2x 2x 2x 3x 3x 13
417:3x 139
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 39288696632640/(1x72)
LCM = 39288696632640/72
LCM = 545676342120
Thus, we can understand that the LCM of 212,735,646,936,417 is 545676342120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 212, 735, 646, 936, 417?
Answer: LCM of 212, 735, 646, 936, 417 is 545676342120.
2. How to calculate the LCM of 212, 735, 646, 936, 417?
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, 735, 646, 936, 417.
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}.