LCM of 508, 551, 585, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 551, 585, 732 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 508, 551, 585, 732. So, keep reading to learn more.
Given numbers are 508,551,585,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,551,585,732 is 9988516980.
Find LCM of 508,551,585,732 with Prime Factorization
| 2 | 508, 551, 585, 732 |
| 2 | 254, 551, 585, 366 |
| 3 | 127, 551, 585, 183 |
| 127, 551, 195, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 127 x 551 x 195 x 61 = 9988516980
Therefore, the lowest common multiple of 508,551,585,732 is 9988516980.
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.
508 x 551 x 585 x 732 = 119862203760
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.
508 : 1, 2, 4, 127, 254, 508
551 : 1, 19, 29, 551
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,551,585,732, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
551:19x 29
585:3x 3x 5x 13
732:2x 2x 3x 61
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 3 = 12
Therefore, the value for common factors is 12.
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 = 119862203760/(1x12)
LCM = 119862203760/12
LCM = 9988516980
Thus, we can understand that the LCM of 508,551,585,732 is 9988516980.
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FAQs on LCM of 508, 551, 585, 732
1. What is the LCM of 508, 551, 585, 732?
Answer: LCM of 508, 551, 585, 732 is 9988516980.
2. How to calculate the LCM of 508, 551, 585, 732?
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 508, 551, 585, 732.
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}.