LCM of 715, 462, 653, 338, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 462, 653, 338, 747 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 715, 462, 653, 338, 747. So, keep reading to learn more.
Given numbers are 715,462,653,338,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,462,653,338,747 is 63476242830.
Find LCM of 715,462,653,338,747 with Prime Factorization
| 2 | 715, 462, 653, 338, 747 |
| 3 | 715, 231, 653, 169, 747 |
| 11 | 715, 77, 653, 169, 249 |
| 13 | 65, 7, 653, 169, 249 |
| 5, 7, 653, 13, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 5 x 7 x 653 x 13 x 249 = 63476242830
Therefore, the lowest common multiple of 715,462,653,338,747 is 63476242830.
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.
715 x 462 x 653 x 338 x 747 = 54462616348140
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
653 : 1, 653
338 : 1, 2, 13, 26, 169, 338
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,462,653,338,747, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
462:2x 3x 7x 11
653:653
338:2x 13x 13
747:3x 3x 83
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 11x 13 = 858
Therefore, the value for common factors is 858.
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 = 54462616348140/(1x858)
LCM = 54462616348140/858
LCM = 63476242830
Thus, we can understand that the LCM of 715,462,653,338,747 is 63476242830.
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FAQs on LCM of 715, 462, 653, 338, 747
1. What is the LCM of 715, 462, 653, 338, 747?
Answer: LCM of 715, 462, 653, 338, 747 is 63476242830.
2. How to calculate the LCM of 715, 462, 653, 338, 747?
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 715, 462, 653, 338, 747.
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}.