LCM of 260, 324, 782, 327, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 324, 782, 327, 824 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 260, 324, 782, 327, 824. So, keep reading to learn more.
Given numbers are 260,324,782,327,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,324,782,327,824 is 184896564840.
Find LCM of 260,324,782,327,824 with Prime Factorization
| 2 | 260, 324, 782, 327, 824 |
| 2 | 130, 162, 391, 327, 412 |
| 3 | 65, 81, 391, 327, 206 |
| 65, 27, 391, 109, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 65 x 27 x 391 x 109 x 206 = 184896564840
Therefore, the lowest common multiple of 260,324,782,327,824 is 184896564840.
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.
260 x 324 x 782 x 327 x 824 = 17750070224640
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
782 : 1, 2, 17, 23, 34, 46, 391, 782
327 : 1, 3, 109, 327
824 : 1, 2, 4, 8, 103, 206, 412, 824
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,324,782,327,824, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
324:2x 2x 3x 3x 3x 3
782:2x 17x 23
327:3x 109
824:2x 2x 2x 103
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 3 = 96
Therefore, the value for common factors is 96.
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 = 17750070224640/(1x96)
LCM = 17750070224640/96
LCM = 184896564840
Thus, we can understand that the LCM of 260,324,782,327,824 is 184896564840.
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FAQs on LCM of 260, 324, 782, 327, 824
1. What is the LCM of 260, 324, 782, 327, 824?
Answer: LCM of 260, 324, 782, 327, 824 is 184896564840.
2. How to calculate the LCM of 260, 324, 782, 327, 824?
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 260, 324, 782, 327, 824.
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}.