LCM of 504, 409, 816, 906, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 409, 816, 906, 296 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 504, 409, 816, 906, 296. So, keep reading to learn more.
Given numbers are 504,409,816,906,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,409,816,906,296 is 39157182288.
Find LCM of 504,409,816,906,296 with Prime Factorization
| 2 | 504, 409, 816, 906, 296 |
| 2 | 252, 409, 408, 453, 148 |
| 2 | 126, 409, 204, 453, 74 |
| 3 | 63, 409, 102, 453, 37 |
| 21, 409, 34, 151, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 21 x 409 x 34 x 151 x 37 = 39157182288
Therefore, the lowest common multiple of 504,409,816,906,296 is 39157182288.
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.
504 x 409 x 816 x 906 x 296 = 45109073995776
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.
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
409 : 1, 409
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
906 : 1, 2, 3, 6, 151, 302, 453, 906
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,409,816,906,296, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
409:409
816:2x 2x 2x 2x 3x 17
906:2x 3x 151
296:2x 2x 2x 37
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 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 45109073995776/(1x1152)
LCM = 45109073995776/1152
LCM = 39157182288
Thus, we can understand that the LCM of 504,409,816,906,296 is 39157182288.
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FAQs on LCM of 504, 409, 816, 906, 296
1. What is the LCM of 504, 409, 816, 906, 296?
Answer: LCM of 504, 409, 816, 906, 296 is 39157182288.
2. How to calculate the LCM of 504, 409, 816, 906, 296?
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 504, 409, 816, 906, 296.
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}.