LCM of 697, 540, 902, 715, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 540, 902, 715, 329 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 697, 540, 902, 715, 329. So, keep reading to learn more.
Given numbers are 697,540,902,715,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,540,902,715,329 is 17707549860.
Find LCM of 697,540,902,715,329 with Prime Factorization
| 2 | 697, 540, 902, 715, 329 |
| 5 | 697, 270, 451, 715, 329 |
| 11 | 697, 54, 451, 143, 329 |
| 41 | 697, 54, 41, 13, 329 |
| 17, 54, 1, 13, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 41 x 17 x 54 x 1 x 13 x 329 = 17707549860
Therefore, the lowest common multiple of 697,540,902,715,329 is 17707549860.
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.
697 x 540 x 902 x 715 x 329 = 79861049868600
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.
697 : 1, 17, 41, 697
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
902 : 1, 2, 11, 22, 41, 82, 451, 902
715 : 1, 5, 11, 13, 55, 65, 143, 715
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,540,902,715,329, is 1.
Now, the common factors can be found like this.
697:17x 41
540:2x 2x 3x 3x 3x 5
902:2x 11x 41
715:5x 11x 13
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 41 = 4510
Therefore, the value for common factors is 4510.
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 = 79861049868600/(1x4510)
LCM = 79861049868600/4510
LCM = 17707549860
Thus, we can understand that the LCM of 697,540,902,715,329 is 17707549860.
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FAQs on LCM of 697, 540, 902, 715, 329
1. What is the LCM of 697, 540, 902, 715, 329?
Answer: LCM of 697, 540, 902, 715, 329 is 17707549860.
2. How to calculate the LCM of 697, 540, 902, 715, 329?
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 697, 540, 902, 715, 329.
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}.