LCM of 909, 935, 459, 460, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 935, 459, 460, 140 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 909, 935, 459, 460, 140. So, keep reading to learn more.
Given numbers are 909,935,459,460,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,935,459,460,140 is 1642035780.
Find LCM of 909,935,459,460,140 with Prime Factorization
| 2 | 909, 935, 459, 460, 140 |
| 2 | 909, 935, 459, 230, 70 |
| 3 | 909, 935, 459, 115, 35 |
| 3 | 303, 935, 153, 115, 35 |
| 5 | 101, 935, 51, 115, 35 |
| 17 | 101, 187, 51, 23, 7 |
| 101, 11, 3, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 101 x 11 x 3 x 23 x 7 = 1642035780
Therefore, the lowest common multiple of 909,935,459,460,140 is 1642035780.
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.
909 x 935 x 459 x 460 x 140 = 25123147434000
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.
909 : 1, 3, 9, 101, 303, 909
935 : 1, 5, 11, 17, 55, 85, 187, 935
459 : 1, 3, 9, 17, 27, 51, 153, 459
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,935,459,460,140, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
935:5x 11x 17
459:3x 3x 3x 17
460:2x 2x 5x 23
140:2x 2x 5x 7
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 5x 5x 17 = 15300
Therefore, the value for common factors is 15300.
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 = 25123147434000/(1x15300)
LCM = 25123147434000/15300
LCM = 1642035780
Thus, we can understand that the LCM of 909,935,459,460,140 is 1642035780.
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FAQs on LCM of 909, 935, 459, 460, 140
1. What is the LCM of 909, 935, 459, 460, 140?
Answer: LCM of 909, 935, 459, 460, 140 is 1642035780.
2. How to calculate the LCM of 909, 935, 459, 460, 140?
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 909, 935, 459, 460, 140.
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}.