LCM of 236, 120, 561, 510, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 236, 120, 561, 510, 832 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 236, 120, 561, 510, 832. So, keep reading to learn more.
Given numbers are 236,120,561,510,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,120,561,510,832 is 137691840.
Find LCM of 236,120,561,510,832 with Prime Factorization
| 2 | 236, 120, 561, 510, 832 |
| 2 | 118, 60, 561, 255, 416 |
| 2 | 59, 30, 561, 255, 208 |
| 3 | 59, 15, 561, 255, 104 |
| 5 | 59, 5, 187, 85, 104 |
| 17 | 59, 1, 187, 17, 104 |
| 59, 1, 11, 1, 104 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 59 x 1 x 11 x 1 x 104 = 137691840
Therefore, the lowest common multiple of 236,120,561,510,832 is 137691840.
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.
236 x 120 x 561 x 510 x 832 = 6741392486400
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.
236 : 1, 2, 4, 59, 118, 236
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
561 : 1, 3, 11, 17, 33, 51, 187, 561
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,120,561,510,832, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
120:2x 2x 2x 3x 5
561:3x 11x 17
510:2x 3x 5x 17
832:2x 2x 2x 2x 2x 2x 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 2x 2x 3x 3x 5x 17 = 48960
Therefore, the value for common factors is 48960.
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 = 6741392486400/(1x48960)
LCM = 6741392486400/48960
LCM = 137691840
Thus, we can understand that the LCM of 236,120,561,510,832 is 137691840.
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FAQs on LCM of 236, 120, 561, 510, 832
1. What is the LCM of 236, 120, 561, 510, 832?
Answer: LCM of 236, 120, 561, 510, 832 is 137691840.
2. How to calculate the LCM of 236, 120, 561, 510, 832?
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 236, 120, 561, 510, 832.
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}.