LCM of 767, 504, 462, 828, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 504, 462, 828, 326 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 767, 504, 462, 828, 326. So, keep reading to learn more.
Given numbers are 767,504,462,828,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,504,462,828,326 is 15941677752.
Find LCM of 767,504,462,828,326 with Prime Factorization
| 2 | 767, 504, 462, 828, 326 |
| 2 | 767, 252, 231, 414, 163 |
| 3 | 767, 126, 231, 207, 163 |
| 3 | 767, 42, 77, 69, 163 |
| 7 | 767, 14, 77, 23, 163 |
| 767, 2, 11, 23, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 767 x 2 x 11 x 23 x 163 = 15941677752
Therefore, the lowest common multiple of 767,504,462,828,326 is 15941677752.
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.
767 x 504 x 462 x 828 x 326 = 48207633522048
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.
767 : 1, 13, 59, 767
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,504,462,828,326, is 1.
Now, the common factors can be found like this.
767:13x 59
504:2x 2x 2x 3x 3x 7
462:2x 3x 7x 11
828:2x 2x 3x 3x 23
326:2x 163
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 7 = 3024
Therefore, the value for common factors is 3024.
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 = 48207633522048/(1x3024)
LCM = 48207633522048/3024
LCM = 15941677752
Thus, we can understand that the LCM of 767,504,462,828,326 is 15941677752.
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FAQs on LCM of 767, 504, 462, 828, 326
1. What is the LCM of 767, 504, 462, 828, 326?
Answer: LCM of 767, 504, 462, 828, 326 is 15941677752.
2. How to calculate the LCM of 767, 504, 462, 828, 326?
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 767, 504, 462, 828, 326.
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}.