LCM of 484, 748, 392, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 748, 392, 585 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, 748, 392, 585. So, keep reading to learn more.
Given numbers are 484,748,392,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,748,392,585 is 471711240.
Find LCM of 484,748,392,585 with Prime Factorization
| 2 | 484, 748, 392, 585 |
| 2 | 242, 374, 196, 585 |
| 11 | 121, 187, 98, 585 |
| 11, 17, 98, 585 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 17 x 98 x 585 = 471711240
Therefore, the lowest common multiple of 484,748,392,585 is 471711240.
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 748 x 392 x 585 = 83021178240
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,748,392,585, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
748:2x 2x 11x 17
392:2x 2x 2x 7x 7
585:3x 3x 5x 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 11 = 176
Therefore, the value for common factors is 176.
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 = 83021178240/(1x176)
LCM = 83021178240/176
LCM = 471711240
Thus, we can understand that the LCM of 484,748,392,585 is 471711240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 748, 392, 585
1. What is the LCM of 484, 748, 392, 585?
Answer: LCM of 484, 748, 392, 585 is 471711240.
2. How to calculate the LCM of 484, 748, 392, 585?
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, 748, 392, 585.
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}.