LCM of 561, 570, 135, 144, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 570, 135, 144, 936 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 561, 570, 135, 144, 936. So, keep reading to learn more.
Given numbers are 561,570,135,144,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,570,135,144,936 is 99768240.
Find LCM of 561,570,135,144,936 with Prime Factorization
| 2 | 561, 570, 135, 144, 936 |
| 2 | 561, 285, 135, 72, 468 |
| 2 | 561, 285, 135, 36, 234 |
| 3 | 561, 285, 135, 18, 117 |
| 3 | 187, 95, 45, 6, 39 |
| 5 | 187, 95, 15, 2, 13 |
| 187, 19, 3, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 187 x 19 x 3 x 2 x 13 = 99768240
Therefore, the lowest common multiple of 561,570,135,144,936 is 99768240.
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.
561 x 570 x 135 x 144 x 936 = 5818483756800
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
135 : 1, 3, 5, 9, 15, 27, 45, 135
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,570,135,144,936, is 3.
Now, the common factors can be found like this.
561:3x 11x 17
570:2x 3x 5x 19
135:3x 3x 3x 5
144:2x 2x 2x 2x 3x 3
936:2x 2x 2x 3x 3x 13
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 3x 3x 5 = 19440
Therefore, the value for common factors is 19440.
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 = 5818483756800/(3x19440)
LCM = 5818483756800/58320
LCM = 99768240
Thus, we can understand that the LCM of 561,570,135,144,936 is 99768240.
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FAQs on LCM of 561, 570, 135, 144, 936
1. What is the LCM of 561, 570, 135, 144, 936?
Answer: LCM of 561, 570, 135, 144, 936 is 99768240.
2. How to calculate the LCM of 561, 570, 135, 144, 936?
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 561, 570, 135, 144, 936.
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}.