LCM of 530, 756, 408, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 756, 408, 270 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, 756, 408, 270. So, keep reading to learn more.
Given numbers are 530,756,408,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,756,408,270 is 6811560.
Find LCM of 530,756,408,270 with Prime Factorization
| 2 | 530, 756, 408, 270 |
| 2 | 265, 378, 204, 135 |
| 3 | 265, 189, 102, 135 |
| 3 | 265, 63, 34, 45 |
| 3 | 265, 21, 34, 15 |
| 5 | 265, 7, 34, 5 |
| 53, 7, 34, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 53 x 7 x 34 x 1 = 6811560
Therefore, the lowest common multiple of 530,756,408,270 is 6811560.
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 756 x 408 x 270 = 44138908800
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,756,408,270, is 2.
Now, the common factors can be found like this.
530:2x 5x 53
756:2x 2x 3x 3x 3x 7
408:2x 2x 2x 3x 17
270:2x 3x 3x 3x 5
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 3x 3x 3x 5 = 3240
Therefore, the value for common factors is 3240.
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 = 44138908800/(2x3240)
LCM = 44138908800/6480
LCM = 6811560
Thus, we can understand that the LCM of 530,756,408,270 is 6811560.
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FAQs on LCM of 530, 756, 408, 270
1. What is the LCM of 530, 756, 408, 270?
Answer: LCM of 530, 756, 408, 270 is 6811560.
2. How to calculate the LCM of 530, 756, 408, 270?
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, 756, 408, 270.
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}.