LCM of 530, 979, 385, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 979, 385, 564 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, 979, 385, 564. So, keep reading to learn more.
Given numbers are 530,979,385,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,979,385,564 is 1024249380.
Find LCM of 530,979,385,564 with Prime Factorization
| 2 | 530, 979, 385, 564 |
| 5 | 265, 979, 385, 282 |
| 11 | 53, 979, 77, 282 |
| 53, 89, 7, 282 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 53 x 89 x 7 x 282 = 1024249380
Therefore, the lowest common multiple of 530,979,385,564 is 1024249380.
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 979 x 385 x 564 = 112667431800
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
979 : 1, 11, 89, 979
385 : 1, 5, 7, 11, 35, 55, 77, 385
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,979,385,564, is 1.
Now, the common factors can be found like this.
530:2x 5x 53
979:11x 89
385:5x 7x 11
564:2x 2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 112667431800/(1x110)
LCM = 112667431800/110
LCM = 1024249380
Thus, we can understand that the LCM of 530,979,385,564 is 1024249380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 530, 979, 385, 564
1. What is the LCM of 530, 979, 385, 564?
Answer: LCM of 530, 979, 385, 564 is 1024249380.
2. How to calculate the LCM of 530, 979, 385, 564?
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, 979, 385, 564.
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}.