LCM of 306, 282, 141, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 282, 141, 323 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 306, 282, 141, 323. So, keep reading to learn more.
Given numbers are 306,282,141,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,282,141,323 is 273258.
Find LCM of 306,282,141,323 with Prime Factorization
| 2 | 306, 282, 141, 323 |
| 3 | 153, 141, 141, 323 |
| 17 | 51, 47, 47, 323 |
| 47 | 3, 47, 47, 19 |
| 3, 1, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 47 x 3 x 1 x 1 x 19 = 273258
Therefore, the lowest common multiple of 306,282,141,323 is 273258.
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.
306 x 282 x 141 x 323 = 3929996556
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
282 : 1, 2, 3, 6, 47, 94, 141, 282
141 : 1, 3, 47, 141
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,282,141,323, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
282:2x 3x 47
141:3x 47
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 47 = 14382
Therefore, the value for common factors is 14382.
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 = 3929996556/(1x14382)
LCM = 3929996556/14382
LCM = 273258
Thus, we can understand that the LCM of 306,282,141,323 is 273258.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 306, 282, 141, 323
1. What is the LCM of 306, 282, 141, 323?
Answer: LCM of 306, 282, 141, 323 is 273258.
2. How to calculate the LCM of 306, 282, 141, 323?
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 306, 282, 141, 323.
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}.