LCM of 816, 735, 561, 40
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 735, 561, 40 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 816, 735, 561, 40. So, keep reading to learn more.
Given numbers are 816,735,561,40
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,735,561,40 is 2199120.
Find LCM of 816,735,561,40 with Prime Factorization
| 2 | 816, 735, 561, 40 |
| 2 | 408, 735, 561, 20 |
| 2 | 204, 735, 561, 10 |
| 3 | 102, 735, 561, 5 |
| 5 | 34, 245, 187, 5 |
| 17 | 34, 49, 187, 1 |
| 2, 49, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 2 x 49 x 11 x 1 = 2199120
Therefore, the lowest common multiple of 816,735,561,40 is 2199120.
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.
816 x 735 x 561 x 40 = 13458614400
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
561 : 1, 3, 11, 17, 33, 51, 187, 561
40 : 1, 2, 4, 5, 8, 10, 20, 40
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,735,561,40, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
735:3x 5x 7x 7
561:3x 11x 17
40:2x 2x 2x 5
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 5x 17 = 6120
Therefore, the value for common factors is 6120.
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 = 13458614400/(1x6120)
LCM = 13458614400/6120
LCM = 2199120
Thus, we can understand that the LCM of 816,735,561,40 is 2199120.
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FAQs on LCM of 816, 735, 561, 40
1. What is the LCM of 816, 735, 561, 40?
Answer: LCM of 816, 735, 561, 40 is 2199120.
2. How to calculate the LCM of 816, 735, 561, 40?
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 816, 735, 561, 40.
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}.