LCM of 484, 742, 530, 812, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 742, 530, 812, 877 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 484, 742, 530, 812, 877. So, keep reading to learn more.
Given numbers are 484,742,530,812,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,742,530,812,877 is 22834256060.
Find LCM of 484,742,530,812,877 with Prime Factorization
| 2 | 484, 742, 530, 812, 877 |
| 2 | 242, 371, 265, 406, 877 |
| 7 | 121, 371, 265, 203, 877 |
| 53 | 121, 53, 265, 29, 877 |
| 121, 1, 5, 29, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 53 x 121 x 1 x 5 x 29 x 877 = 22834256060
Therefore, the lowest common multiple of 484,742,530,812,877 is 22834256060.
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.
484 x 742 x 530 x 812 x 877 = 135544143972160
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
742 : 1, 2, 7, 14, 53, 106, 371, 742
530 : 1, 2, 5, 10, 53, 106, 265, 530
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,742,530,812,877, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
742:2x 7x 53
530:2x 5x 53
812:2x 2x 7x 29
877:877
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 7x 53 = 5936
Therefore, the value for common factors is 5936.
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 = 135544143972160/(1x5936)
LCM = 135544143972160/5936
LCM = 22834256060
Thus, we can understand that the LCM of 484,742,530,812,877 is 22834256060.
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FAQs on LCM of 484, 742, 530, 812, 877
1. What is the LCM of 484, 742, 530, 812, 877?
Answer: LCM of 484, 742, 530, 812, 877 is 22834256060.
2. How to calculate the LCM of 484, 742, 530, 812, 877?
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 484, 742, 530, 812, 877.
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}.