LCM of 936, 396, 442, 652, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 396, 442, 652, 825 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 936, 396, 442, 652, 825. So, keep reading to learn more.
Given numbers are 936,396,442,652,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,396,442,652,825 is 713255400.
Find LCM of 936,396,442,652,825 with Prime Factorization
| 2 | 936, 396, 442, 652, 825 |
| 2 | 468, 198, 221, 326, 825 |
| 3 | 234, 99, 221, 163, 825 |
| 3 | 78, 33, 221, 163, 275 |
| 11 | 26, 11, 221, 163, 275 |
| 13 | 26, 1, 221, 163, 25 |
| 2, 1, 17, 163, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 13 x 2 x 1 x 17 x 163 x 25 = 713255400
Therefore, the lowest common multiple of 936,396,442,652,825 is 713255400.
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.
936 x 396 x 442 x 652 x 825 = 88124131180800
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
442 : 1, 2, 13, 17, 26, 34, 221, 442
652 : 1, 2, 4, 163, 326, 652
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,396,442,652,825, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
396:2x 2x 3x 3x 11
442:2x 13x 17
652:2x 2x 163
825:3x 5x 5x 11
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 3x 3x 3x 11x 13 = 123552
Therefore, the value for common factors is 123552.
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 = 88124131180800/(1x123552)
LCM = 88124131180800/123552
LCM = 713255400
Thus, we can understand that the LCM of 936,396,442,652,825 is 713255400.
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FAQs on LCM of 936, 396, 442, 652, 825
1. What is the LCM of 936, 396, 442, 652, 825?
Answer: LCM of 936, 396, 442, 652, 825 is 713255400.
2. How to calculate the LCM of 936, 396, 442, 652, 825?
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 936, 396, 442, 652, 825.
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}.