LCM of 345, 364, 851, 347, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 364, 851, 347, 858 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 345, 364, 851, 347, 858. So, keep reading to learn more.
Given numbers are 345,364,851,347,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,364,851,347,858 is 17735537820.
Find LCM of 345,364,851,347,858 with Prime Factorization
| 2 | 345, 364, 851, 347, 858 |
| 3 | 345, 182, 851, 347, 429 |
| 13 | 115, 182, 851, 347, 143 |
| 23 | 115, 14, 851, 347, 11 |
| 5, 14, 37, 347, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 5 x 14 x 37 x 347 x 11 = 17735537820
Therefore, the lowest common multiple of 345,364,851,347,858 is 17735537820.
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.
345 x 364 x 851 x 347 x 858 = 31817554849080
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
851 : 1, 23, 37, 851
347 : 1, 347
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,364,851,347,858, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
364:2x 2x 7x 13
851:23x 37
347:347
858:2x 3x 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 13x 23 = 1794
Therefore, the value for common factors is 1794.
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 = 31817554849080/(1x1794)
LCM = 31817554849080/1794
LCM = 17735537820
Thus, we can understand that the LCM of 345,364,851,347,858 is 17735537820.
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FAQs on LCM of 345, 364, 851, 347, 858
1. What is the LCM of 345, 364, 851, 347, 858?
Answer: LCM of 345, 364, 851, 347, 858 is 17735537820.
2. How to calculate the LCM of 345, 364, 851, 347, 858?
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 345, 364, 851, 347, 858.
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}.