LCM of 405, 594, 120, 209, 626
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 594, 120, 209, 626 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 405, 594, 120, 209, 626. So, keep reading to learn more.
Given numbers are 405,594,120,209,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,594,120,209,626 is 211951080.
Find LCM of 405,594,120,209,626 with Prime Factorization
| 2 | 405, 594, 120, 209, 626 |
| 3 | 405, 297, 60, 209, 313 |
| 3 | 135, 99, 20, 209, 313 |
| 3 | 45, 33, 20, 209, 313 |
| 5 | 15, 11, 20, 209, 313 |
| 11 | 3, 11, 4, 209, 313 |
| 3, 1, 4, 19, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 11 x 3 x 1 x 4 x 19 x 313 = 211951080
Therefore, the lowest common multiple of 405,594,120,209,626 is 211951080.
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.
405 x 594 x 120 x 209 x 626 = 3776968245600
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
209 : 1, 11, 19, 209
626 : 1, 2, 313, 626
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,594,120,209,626, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
594:2x 3x 3x 3x 11
120:2x 2x 2x 3x 5
209:11x 19
626:2x 313
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 3x 3x 3x 3x 5x 11 = 17820
Therefore, the value for common factors is 17820.
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 = 3776968245600/(1x17820)
LCM = 3776968245600/17820
LCM = 211951080
Thus, we can understand that the LCM of 405,594,120,209,626 is 211951080.
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FAQs on LCM of 405, 594, 120, 209, 626
1. What is the LCM of 405, 594, 120, 209, 626?
Answer: LCM of 405, 594, 120, 209, 626 is 211951080.
2. How to calculate the LCM of 405, 594, 120, 209, 626?
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 405, 594, 120, 209, 626.
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}.