LCM of 695, 990, 315, 349, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 990, 315, 349, 814 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, 990, 315, 349, 814. So, keep reading to learn more.
Given numbers are 695,990,315,349,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,990,315,349,814 is 12438705510.
Find LCM of 695,990,315,349,814 with Prime Factorization
| 2 | 695, 990, 315, 349, 814 |
| 3 | 695, 495, 315, 349, 407 |
| 3 | 695, 165, 105, 349, 407 |
| 5 | 695, 55, 35, 349, 407 |
| 11 | 139, 11, 7, 349, 407 |
| 139, 1, 7, 349, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 139 x 1 x 7 x 349 x 37 = 12438705510
Therefore, the lowest common multiple of 695,990,315,349,814 is 12438705510.
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 990 x 315 x 349 x 814 = 61571592274500
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
349 : 1, 349
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,990,315,349,814, is 1.
Now, the common factors can be found like this.
695:5x 139
990:2x 3x 3x 5x 11
315:3x 3x 5x 7
349:349
814:2x 11x 37
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 5x 5x 11 = 4950
Therefore, the value for common factors is 4950.
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 = 61571592274500/(1x4950)
LCM = 61571592274500/4950
LCM = 12438705510
Thus, we can understand that the LCM of 695,990,315,349,814 is 12438705510.
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FAQs on LCM of 695, 990, 315, 349, 814
1. What is the LCM of 695, 990, 315, 349, 814?
Answer: LCM of 695, 990, 315, 349, 814 is 12438705510.
2. How to calculate the LCM of 695, 990, 315, 349, 814?
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, 990, 315, 349, 814.
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}.