LCM of 715, 395, 823, 760, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 395, 823, 760, 316 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, 395, 823, 760, 316. So, keep reading to learn more.
Given numbers are 715,395,823,760,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,395,823,760,316 is 7066047560.
Find LCM of 715,395,823,760,316 with Prime Factorization
| 2 | 715, 395, 823, 760, 316 |
| 2 | 715, 395, 823, 380, 158 |
| 5 | 715, 395, 823, 190, 79 |
| 79 | 143, 79, 823, 38, 79 |
| 143, 1, 823, 38, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 79 x 143 x 1 x 823 x 38 x 1 = 7066047560
Therefore, the lowest common multiple of 715,395,823,760,316 is 7066047560.
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 395 x 823 x 760 x 316 = 55821775724000
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
395 : 1, 5, 79, 395
823 : 1, 823
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,395,823,760,316, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
395:5x 79
823:823
760:2x 2x 2x 5x 19
316:2x 2x 79
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 5x 5x 79 = 7900
Therefore, the value for common factors is 7900.
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 = 55821775724000/(1x7900)
LCM = 55821775724000/7900
LCM = 7066047560
Thus, we can understand that the LCM of 715,395,823,760,316 is 7066047560.
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FAQs on LCM of 715, 395, 823, 760, 316
1. What is the LCM of 715, 395, 823, 760, 316?
Answer: LCM of 715, 395, 823, 760, 316 is 7066047560.
2. How to calculate the LCM of 715, 395, 823, 760, 316?
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, 395, 823, 760, 316.
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}.