LCM of 513, 962, 153, 403, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 962, 153, 403, 252 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, 962, 153, 403, 252. So, keep reading to learn more.
Given numbers are 513,962,153,403,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,962,153,403,252 is 3641087268.
Find LCM of 513,962,153,403,252 with Prime Factorization
| 2 | 513, 962, 153, 403, 252 |
| 3 | 513, 481, 153, 403, 126 |
| 3 | 171, 481, 51, 403, 42 |
| 13 | 57, 481, 17, 403, 14 |
| 57, 37, 17, 31, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 57 x 37 x 17 x 31 x 14 = 3641087268
Therefore, the lowest common multiple of 513,962,153,403,252 is 3641087268.
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 962 x 153 x 403 x 252 = 7668129786408
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
153 : 1, 3, 9, 17, 51, 153
403 : 1, 13, 31, 403
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,962,153,403,252, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
962:2x 13x 37
153:3x 3x 17
403:13x 31
252:2x 2x 3x 3x 7
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 3x 13 = 2106
Therefore, the value for common factors is 2106.
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 = 7668129786408/(1x2106)
LCM = 7668129786408/2106
LCM = 3641087268
Thus, we can understand that the LCM of 513,962,153,403,252 is 3641087268.
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FAQs on LCM of 513, 962, 153, 403, 252
1. What is the LCM of 513, 962, 153, 403, 252?
Answer: LCM of 513, 962, 153, 403, 252 is 3641087268.
2. How to calculate the LCM of 513, 962, 153, 403, 252?
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, 962, 153, 403, 252.
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}.