LCM of 916, 629, 286, 441, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 916, 629, 286, 441, 504 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 916, 629, 286, 441, 504. So, keep reading to learn more.
Given numbers are 916,629,286,441,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,629,286,441,504 is 72669260664.
Find LCM of 916,629,286,441,504 with Prime Factorization
| 2 | 916, 629, 286, 441, 504 |
| 2 | 458, 629, 143, 441, 252 |
| 3 | 229, 629, 143, 441, 126 |
| 3 | 229, 629, 143, 147, 42 |
| 7 | 229, 629, 143, 49, 14 |
| 229, 629, 143, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 229 x 629 x 143 x 7 x 2 = 72669260664
Therefore, the lowest common multiple of 916,629,286,441,504 is 72669260664.
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.
916 x 629 x 286 x 441 x 504 = 36625307374656
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.
916 : 1, 2, 4, 229, 458, 916
629 : 1, 17, 37, 629
286 : 1, 2, 11, 13, 22, 26, 143, 286
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,629,286,441,504, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
629:17x 37
286:2x 11x 13
441:3x 3x 7x 7
504:2x 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 2x 2x 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 36625307374656/(1x504)
LCM = 36625307374656/504
LCM = 72669260664
Thus, we can understand that the LCM of 916,629,286,441,504 is 72669260664.
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FAQs on LCM of 916, 629, 286, 441, 504
1. What is the LCM of 916, 629, 286, 441, 504?
Answer: LCM of 916, 629, 286, 441, 504 is 72669260664.
2. How to calculate the LCM of 916, 629, 286, 441, 504?
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 916, 629, 286, 441, 504.
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}.