LCM of 273, 786, 328, 180, 537
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 273, 786, 328, 180, 537 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 273, 786, 328, 180, 537. So, keep reading to learn more.
Given numbers are 273,786,328,180,537
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,786,328,180,537 is 31495758840.
Find LCM of 273,786,328,180,537 with Prime Factorization
| 2 | 273, 786, 328, 180, 537 |
| 2 | 273, 393, 164, 90, 537 |
| 3 | 273, 393, 82, 45, 537 |
| 91, 131, 82, 15, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 91 x 131 x 82 x 15 x 179 = 31495758840
Therefore, the lowest common multiple of 273,786,328,180,537 is 31495758840.
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.
273 x 786 x 328 x 180 x 537 = 6803083909440
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
786 : 1, 2, 3, 6, 131, 262, 393, 786
328 : 1, 2, 4, 8, 41, 82, 164, 328
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
537 : 1, 3, 179, 537
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,786,328,180,537, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
786:2x 3x 131
328:2x 2x 2x 41
180:2x 2x 3x 3x 5
537:3x 179
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 3 = 216
Therefore, the value for common factors is 216.
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 = 6803083909440/(1x216)
LCM = 6803083909440/216
LCM = 31495758840
Thus, we can understand that the LCM of 273,786,328,180,537 is 31495758840.
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FAQs on LCM of 273, 786, 328, 180, 537
1. What is the LCM of 273, 786, 328, 180, 537?
Answer: LCM of 273, 786, 328, 180, 537 is 31495758840.
2. How to calculate the LCM of 273, 786, 328, 180, 537?
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 273, 786, 328, 180, 537.
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}.