LCM of 606, 880, 665, 909, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 880, 665, 909, 945 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 606, 880, 665, 909, 945. So, keep reading to learn more.
Given numbers are 606,880,665,909,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,880,665,909,945 is 319168080.
Find LCM of 606,880,665,909,945 with Prime Factorization
| 2 | 606, 880, 665, 909, 945 |
| 3 | 303, 440, 665, 909, 945 |
| 3 | 101, 440, 665, 303, 315 |
| 5 | 101, 440, 665, 101, 105 |
| 7 | 101, 88, 133, 101, 21 |
| 101 | 101, 88, 19, 101, 3 |
| 1, 88, 19, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 101 x 1 x 88 x 19 x 1 x 3 = 319168080
Therefore, the lowest common multiple of 606,880,665,909,945 is 319168080.
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.
606 x 880 x 665 x 909 x 945 = 304629973956000
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
665 : 1, 5, 7, 19, 35, 95, 133, 665
909 : 1, 3, 9, 101, 303, 909
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,880,665,909,945, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
880:2x 2x 2x 2x 5x 11
665:5x 7x 19
909:3x 3x 101
945:3x 3x 3x 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 3x 3x 3x 5x 5x 7x 101 = 954450
Therefore, the value for common factors is 954450.
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 = 304629973956000/(1x954450)
LCM = 304629973956000/954450
LCM = 319168080
Thus, we can understand that the LCM of 606,880,665,909,945 is 319168080.
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FAQs on LCM of 606, 880, 665, 909, 945
1. What is the LCM of 606, 880, 665, 909, 945?
Answer: LCM of 606, 880, 665, 909, 945 is 319168080.
2. How to calculate the LCM of 606, 880, 665, 909, 945?
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 606, 880, 665, 909, 945.
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}.