LCM of 470, 836, 720, 944, 495
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 836, 720, 944, 495 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 470, 836, 720, 944, 495. So, keep reading to learn more.
Given numbers are 470,836,720,944,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,836,720,944,495 is 417281040.
Find LCM of 470,836,720,944,495 with Prime Factorization
| 2 | 470, 836, 720, 944, 495 |
| 2 | 235, 418, 360, 472, 495 |
| 2 | 235, 209, 180, 236, 495 |
| 2 | 235, 209, 90, 118, 495 |
| 3 | 235, 209, 45, 59, 495 |
| 3 | 235, 209, 15, 59, 165 |
| 5 | 235, 209, 5, 59, 55 |
| 11 | 47, 209, 1, 59, 11 |
| 47, 19, 1, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 47 x 19 x 1 x 59 x 1 = 417281040
Therefore, the lowest common multiple of 470,836,720,944,495 is 417281040.
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.
470 x 836 x 720 x 944 x 495 = 132194633472000
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,836,720,944,495, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
836:2x 2x 11x 19
720:2x 2x 2x 2x 3x 3x 5
944:2x 2x 2x 2x 59
495:3x 3x 5x 11
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 2x 2x 2x 2x 3x 3x 5x 5x 11 = 316800
Therefore, the value for common factors is 316800.
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 = 132194633472000/(1x316800)
LCM = 132194633472000/316800
LCM = 417281040
Thus, we can understand that the LCM of 470,836,720,944,495 is 417281040.
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FAQs on LCM of 470, 836, 720, 944, 495
1. What is the LCM of 470, 836, 720, 944, 495?
Answer: LCM of 470, 836, 720, 944, 495 is 417281040.
2. How to calculate the LCM of 470, 836, 720, 944, 495?
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 470, 836, 720, 944, 495.
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}.