LCM of 471, 810, 508, 342, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 810, 508, 342, 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 471, 810, 508, 342, 732. So, keep reading to learn more.
Given numbers are 471,810,508,342,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,810,508,342,732 is 37437067620.
Find LCM of 471,810,508,342,732 with Prime Factorization
| 2 | 471, 810, 508, 342, 732 |
| 2 | 471, 405, 254, 171, 366 |
| 3 | 471, 405, 127, 171, 183 |
| 3 | 157, 135, 127, 57, 61 |
| 157, 45, 127, 19, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 157 x 45 x 127 x 19 x 61 = 37437067620
Therefore, the lowest common multiple of 471,810,508,342,732 is 37437067620.
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.
471 x 810 x 508 x 342 x 732 = 48518439635520
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.
471 : 1, 3, 157, 471
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
508 : 1, 2, 4, 127, 254, 508
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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 471,810,508,342,732, is 1.
Now, the common factors can be found like this.
471:3x 157
810:2x 3x 3x 3x 3x 5
508:2x 2x 127
342:2x 3x 3x 19
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 2x 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 48518439635520/(1x1296)
LCM = 48518439635520/1296
LCM = 37437067620
Thus, we can understand that the LCM of 471,810,508,342,732 is 37437067620.
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FAQs on LCM of 471, 810, 508, 342, 732
1. What is the LCM of 471, 810, 508, 342, 732?
Answer: LCM of 471, 810, 508, 342, 732 is 37437067620.
2. How to calculate the LCM of 471, 810, 508, 342, 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 471, 810, 508, 342, 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}.