LCM of 530, 212, 120, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 212, 120, 312 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 530, 212, 120, 312. So, keep reading to learn more.
Given numbers are 530,212,120,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,212,120,312 is 82680.
Find LCM of 530,212,120,312 with Prime Factorization
| 2 | 530, 212, 120, 312 |
| 2 | 265, 106, 60, 156 |
| 2 | 265, 53, 30, 78 |
| 3 | 265, 53, 15, 39 |
| 5 | 265, 53, 5, 13 |
| 53 | 53, 53, 1, 13 |
| 1, 1, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 53 x 1 x 1 x 1 x 13 = 82680
Therefore, the lowest common multiple of 530,212,120,312 is 82680.
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.
530 x 212 x 120 x 312 = 4206758400
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.
530 : 1, 2, 5, 10, 53, 106, 265, 530
212 : 1, 2, 4, 53, 106, 212
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,212,120,312, is 2.
Now, the common factors can be found like this.
530:2x 5x 53
212:2x 2x 53
120:2x 2x 2x 3x 5
312:2x 2x 2x 3x 13
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 3x 5x 53 = 25440
Therefore, the value for common factors is 25440.
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 = 4206758400/(2x25440)
LCM = 4206758400/50880
LCM = 82680
Thus, we can understand that the LCM of 530,212,120,312 is 82680.
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FAQs on LCM of 530, 212, 120, 312
1. What is the LCM of 530, 212, 120, 312?
Answer: LCM of 530, 212, 120, 312 is 82680.
2. How to calculate the LCM of 530, 212, 120, 312?
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 530, 212, 120, 312.
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}.