LCM of 605, 510, 627, 408, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 510, 627, 408, 540 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 605, 510, 627, 408, 540. So, keep reading to learn more.
Given numbers are 605,510,627,408,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,510,627,408,540 is 42209640.
Find LCM of 605,510,627,408,540 with Prime Factorization
| 2 | 605, 510, 627, 408, 540 |
| 2 | 605, 255, 627, 204, 270 |
| 3 | 605, 255, 627, 102, 135 |
| 5 | 605, 85, 209, 34, 45 |
| 11 | 121, 17, 209, 34, 9 |
| 17 | 11, 17, 19, 34, 9 |
| 11, 1, 19, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 17 x 11 x 1 x 19 x 2 x 9 = 42209640
Therefore, the lowest common multiple of 605,510,627,408,540 is 42209640.
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.
605 x 510 x 627 x 408 x 540 = 42623294472000
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.
605 : 1, 5, 11, 55, 121, 605
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
627 : 1, 3, 11, 19, 33, 57, 209, 627
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,510,627,408,540, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
510:2x 3x 5x 17
627:3x 11x 19
408:2x 2x 2x 3x 17
540:2x 2x 3x 3x 3x 5
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 3x 5x 5x 11x 17 = 1009800
Therefore, the value for common factors is 1009800.
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 = 42623294472000/(1x1009800)
LCM = 42623294472000/1009800
LCM = 42209640
Thus, we can understand that the LCM of 605,510,627,408,540 is 42209640.
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FAQs on LCM of 605, 510, 627, 408, 540
1. What is the LCM of 605, 510, 627, 408, 540?
Answer: LCM of 605, 510, 627, 408, 540 is 42209640.
2. How to calculate the LCM of 605, 510, 627, 408, 540?
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 605, 510, 627, 408, 540.
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}.