LCM of 715, 816, 972, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 816, 972, 660 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, 816, 972, 660. So, keep reading to learn more.
Given numbers are 715,816,972,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,816,972,660 is 47258640.
Find LCM of 715,816,972,660 with Prime Factorization
| 2 | 715, 816, 972, 660 |
| 2 | 715, 408, 486, 330 |
| 3 | 715, 204, 243, 165 |
| 5 | 715, 68, 81, 55 |
| 11 | 143, 68, 81, 11 |
| 13, 68, 81, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 13 x 68 x 81 x 1 = 47258640
Therefore, the lowest common multiple of 715,816,972,660 is 47258640.
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 816 x 972 x 660 = 374288428800
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
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,816,972,660, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
816:2x 2x 2x 2x 3x 17
972:2x 2x 3x 3x 3x 3x 3
660:2x 2x 3x 5x 11
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 2x 3x 3x 5x 11 = 7920
Therefore, the value for common factors is 7920.
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 = 374288428800/(1x7920)
LCM = 374288428800/7920
LCM = 47258640
Thus, we can understand that the LCM of 715,816,972,660 is 47258640.
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FAQs on LCM of 715, 816, 972, 660
1. What is the LCM of 715, 816, 972, 660?
Answer: LCM of 715, 816, 972, 660 is 47258640.
2. How to calculate the LCM of 715, 816, 972, 660?
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, 816, 972, 660.
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}.