Find the LCM of 930, 386, 212, 872, 840 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 930, 386, 212, 872, 840. So, keep reading to learn more.
Given numbers are 930,386,212,872,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,386,212,872,840 is 29033584440.
Find LCM of 930,386,212,872,840 with Prime Factorization
2 | 930, 386, 212, 872, 840 |
2 | 465, 193, 106, 436, 420 |
2 | 465, 193, 53, 218, 210 |
3 | 465, 193, 53, 109, 105 |
5 | 155, 193, 53, 109, 35 |
31, 193, 53, 109, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 31 x 193 x 53 x 109 x 7 = 29033584440
Therefore, the lowest common multiple of 930,386,212,872,840 is 29033584440.
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.
930 x 386 x 212 x 872 x 840 = 55744482124800
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
386 : 1, 2, 193, 386
212 : 1, 2, 4, 53, 106, 212
872 : 1, 2, 4, 8, 109, 218, 436, 872
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,386,212,872,840, is 2.
Now, the common factors can be found like this.
930:2x 3x 5x 31
386:2x 193
212:2x 2x 53
872:2x 2x 2x 109
840:2x 2x 2x 3x 5x 7
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 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 55744482124800/(2x960)
LCM = 55744482124800/1920
LCM = 29033584440
Thus, we can understand that the LCM of 930,386,212,872,840 is 29033584440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 930, 386, 212, 872, 840?
Answer: LCM of 930, 386, 212, 872, 840 is 29033584440.
2. How to calculate the LCM of 930, 386, 212, 872, 840?
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 930, 386, 212, 872, 840.
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}.