LCM of 695, 469, 836, 836, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 469, 836, 836, 614 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 695, 469, 836, 836, 614. So, keep reading to learn more.
Given numbers are 695,469,836,836,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,469,836,836,614 is 83657002660.
Find LCM of 695,469,836,836,614 with Prime Factorization
| 2 | 695, 469, 836, 836, 614 |
| 2 | 695, 469, 418, 418, 307 |
| 11 | 695, 469, 209, 209, 307 |
| 19 | 695, 469, 19, 19, 307 |
| 695, 469, 1, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 695 x 469 x 1 x 1 x 307 = 83657002660
Therefore, the lowest common multiple of 695,469,836,836,614 is 83657002660.
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.
695 x 469 x 836 x 836 x 614 = 139874508447520
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.
695 : 1, 5, 139, 695
469 : 1, 7, 67, 469
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,469,836,836,614, is 1.
Now, the common factors can be found like this.
695:5x 139
469:7x 67
836:2x 2x 11x 19
836:2x 2x 11x 19
614:2x 307
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 11x 19 = 1672
Therefore, the value for common factors is 1672.
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 = 139874508447520/(1x1672)
LCM = 139874508447520/1672
LCM = 83657002660
Thus, we can understand that the LCM of 695,469,836,836,614 is 83657002660.
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FAQs on LCM of 695, 469, 836, 836, 614
1. What is the LCM of 695, 469, 836, 836, 614?
Answer: LCM of 695, 469, 836, 836, 614 is 83657002660.
2. How to calculate the LCM of 695, 469, 836, 836, 614?
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 695, 469, 836, 836, 614.
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}.