LCM of 187, 612, 323, 182
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 612, 323, 182 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 187, 612, 323, 182. So, keep reading to learn more.
Given numbers are 187,612,323,182
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,612,323,182 is 11639628.
Find LCM of 187,612,323,182 with Prime Factorization
| 2 | 187, 612, 323, 182 |
| 17 | 187, 306, 323, 91 |
| 11, 18, 19, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 11 x 18 x 19 x 91 = 11639628
Therefore, the lowest common multiple of 187,612,323,182 is 11639628.
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.
187 x 612 x 323 x 182 = 6727704984
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.
187 : 1, 11, 17, 187
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
323 : 1, 17, 19, 323
182 : 1, 2, 7, 13, 14, 26, 91, 182
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,612,323,182, is 1.
Now, the common factors can be found like this.
187:11x 17
612:2x 2x 3x 3x 17
323:17x 19
182:2x 7x 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 17x 17 = 578
Therefore, the value for common factors is 578.
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 = 6727704984/(1x578)
LCM = 6727704984/578
LCM = 11639628
Thus, we can understand that the LCM of 187,612,323,182 is 11639628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 612, 323, 182
1. What is the LCM of 187, 612, 323, 182?
Answer: LCM of 187, 612, 323, 182 is 11639628.
2. How to calculate the LCM of 187, 612, 323, 182?
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 187, 612, 323, 182.
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}.