LCM of 513, 715, 833, 429, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 715, 833, 429, 847 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 513, 715, 833, 429, 847. So, keep reading to learn more.
Given numbers are 513,715,833,429,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,715,833,429,847 is 3360942585.
Find LCM of 513,715,833,429,847 with Prime Factorization
| 3 | 513, 715, 833, 429, 847 |
| 7 | 171, 715, 833, 143, 847 |
| 11 | 171, 715, 119, 143, 121 |
| 13 | 171, 65, 119, 13, 11 |
| 171, 5, 119, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 13 x 171 x 5 x 119 x 1 x 11 = 3360942585
Therefore, the lowest common multiple of 513,715,833,429,847 is 3360942585.
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.
513 x 715 x 833 x 429 x 847 = 111022016410305
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
715 : 1, 5, 11, 13, 55, 65, 143, 715
833 : 1, 7, 17, 49, 119, 833
429 : 1, 3, 11, 13, 33, 39, 143, 429
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,715,833,429,847, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
715:5x 11x 13
833:7x 7x 17
429:3x 11x 13
847:7x 11x 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 7x 11x 11x 13 = 33033
Therefore, the value for common factors is 33033.
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 = 111022016410305/(1x33033)
LCM = 111022016410305/33033
LCM = 3360942585
Thus, we can understand that the LCM of 513,715,833,429,847 is 3360942585.
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FAQs on LCM of 513, 715, 833, 429, 847
1. What is the LCM of 513, 715, 833, 429, 847?
Answer: LCM of 513, 715, 833, 429, 847 is 3360942585.
2. How to calculate the LCM of 513, 715, 833, 429, 847?
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 513, 715, 833, 429, 847.
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}.