LCM of 189, 315, 306, 399, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 189, 315, 306, 399, 266 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 189, 315, 306, 399, 266. So, keep reading to learn more.
Given numbers are 189,315,306,399,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 189,315,306,399,266 is 610470.
Find LCM of 189,315,306,399,266 with Prime Factorization
| 2 | 189, 315, 306, 399, 266 |
| 3 | 189, 315, 153, 399, 133 |
| 3 | 63, 105, 51, 133, 133 |
| 7 | 21, 35, 17, 133, 133 |
| 19 | 3, 5, 17, 19, 19 |
| 3, 5, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 19 x 3 x 5 x 17 x 1 x 1 = 610470
Therefore, the lowest common multiple of 189,315,306,399,266 is 610470.
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.
189 x 315 x 306 x 399 x 266 = 1933518433140
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.
189 : 1, 3, 7, 9, 21, 27, 63, 189
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
399 : 1, 3, 7, 19, 21, 57, 133, 399
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,315,306,399,266, is 1.
Now, the common factors can be found like this.
189:3x 3x 3x 7
315:3x 3x 5x 7
306:2x 3x 3x 17
399:3x 7x 19
266:2x 7x 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 3x 3x 3x 7x 7x 7x 19 = 3167262
Therefore, the value for common factors is 3167262.
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 = 1933518433140/(1x3167262)
LCM = 1933518433140/3167262
LCM = 610470
Thus, we can understand that the LCM of 189,315,306,399,266 is 610470.
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FAQs on LCM of 189, 315, 306, 399, 266
1. What is the LCM of 189, 315, 306, 399, 266?
Answer: LCM of 189, 315, 306, 399, 266 is 610470.
2. How to calculate the LCM of 189, 315, 306, 399, 266?
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 189, 315, 306, 399, 266.
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}.