LCM of 765, 715, 314, 309, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 715, 314, 309, 286 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 765, 715, 314, 309, 286. So, keep reading to learn more.
Given numbers are 765,715,314,309,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,715,314,309,286 is 3538053090.
Find LCM of 765,715,314,309,286 with Prime Factorization
| 2 | 765, 715, 314, 309, 286 |
| 3 | 765, 715, 157, 309, 143 |
| 5 | 255, 715, 157, 103, 143 |
| 11 | 51, 143, 157, 103, 143 |
| 13 | 51, 13, 157, 103, 13 |
| 51, 1, 157, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 13 x 51 x 1 x 157 x 103 x 1 = 3538053090
Therefore, the lowest common multiple of 765,715,314,309,286 is 3538053090.
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.
765 x 715 x 314 x 309 x 286 = 15178247756100
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
715 : 1, 5, 11, 13, 55, 65, 143, 715
314 : 1, 2, 157, 314
309 : 1, 3, 103, 309
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,715,314,309,286, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
715:5x 11x 13
314:2x 157
309:3x 103
286:2x 11x 13
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 5x 11x 13 = 4290
Therefore, the value for common factors is 4290.
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 = 15178247756100/(1x4290)
LCM = 15178247756100/4290
LCM = 3538053090
Thus, we can understand that the LCM of 765,715,314,309,286 is 3538053090.
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FAQs on LCM of 765, 715, 314, 309, 286
1. What is the LCM of 765, 715, 314, 309, 286?
Answer: LCM of 765, 715, 314, 309, 286 is 3538053090.
2. How to calculate the LCM of 765, 715, 314, 309, 286?
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 765, 715, 314, 309, 286.
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}.