LCM of 117, 715, 235, 693
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 715, 235, 693 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 117, 715, 235, 693. So, keep reading to learn more.
Given numbers are 117,715,235,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,715,235,693 is 2117115.
Find LCM of 117,715,235,693 with Prime Factorization
| 3 | 117, 715, 235, 693 |
| 3 | 39, 715, 235, 231 |
| 5 | 13, 715, 235, 77 |
| 11 | 13, 143, 47, 77 |
| 13 | 13, 13, 47, 7 |
| 1, 1, 47, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 13 x 1 x 1 x 47 x 7 = 2117115
Therefore, the lowest common multiple of 117,715,235,693 is 2117115.
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.
117 x 715 x 235 x 693 = 13623635025
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.
117 : 1, 3, 9, 13, 39, 117
715 : 1, 5, 11, 13, 55, 65, 143, 715
235 : 1, 5, 47, 235
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,715,235,693, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
715:5x 11x 13
235:5x 47
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11x 13 = 6435
Therefore, the value for common factors is 6435.
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 = 13623635025/(1x6435)
LCM = 13623635025/6435
LCM = 2117115
Thus, we can understand that the LCM of 117,715,235,693 is 2117115.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 715, 235, 693
1. What is the LCM of 117, 715, 235, 693?
Answer: LCM of 117, 715, 235, 693 is 2117115.
2. How to calculate the LCM of 117, 715, 235, 693?
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 117, 715, 235, 693.
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}.