LCM of 513, 132, 953, 418, 873
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 132, 953, 418, 873 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 513, 132, 953, 418, 873. So, keep reading to learn more.
Given numbers are 513,132,953,418,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,132,953,418,873 is 2086578252.
Find LCM of 513,132,953,418,873 with Prime Factorization
| 2 | 513, 132, 953, 418, 873 |
| 3 | 513, 66, 953, 209, 873 |
| 3 | 171, 22, 953, 209, 291 |
| 11 | 57, 22, 953, 209, 97 |
| 19 | 57, 2, 953, 19, 97 |
| 3, 2, 953, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 19 x 3 x 2 x 953 x 1 x 97 = 2086578252
Therefore, the lowest common multiple of 513,132,953,418,873 is 2086578252.
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.
513 x 132 x 953 x 418 x 873 = 23549122152072
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
953 : 1, 953
418 : 1, 2, 11, 19, 22, 38, 209, 418
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,132,953,418,873, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
132:2x 2x 3x 11
953:953
418:2x 11x 19
873:3x 3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 19 = 11286
Therefore, the value for common factors is 11286.
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 = 23549122152072/(1x11286)
LCM = 23549122152072/11286
LCM = 2086578252
Thus, we can understand that the LCM of 513,132,953,418,873 is 2086578252.
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FAQs on LCM of 513, 132, 953, 418, 873
1. What is the LCM of 513, 132, 953, 418, 873?
Answer: LCM of 513, 132, 953, 418, 873 is 2086578252.
2. How to calculate the LCM of 513, 132, 953, 418, 873?
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 513, 132, 953, 418, 873.
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}.