LCM of 858, 935, 445, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 935, 445, 979 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 858, 935, 445, 979. So, keep reading to learn more.
Given numbers are 858,935,445,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,935,445,979 is 6490770.
Find LCM of 858,935,445,979 with Prime Factorization
| 5 | 858, 935, 445, 979 |
| 11 | 858, 187, 89, 979 |
| 89 | 78, 17, 89, 89 |
| 78, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 89 x 78 x 17 x 1 x 1 = 6490770
Therefore, the lowest common multiple of 858,935,445,979 is 6490770.
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.
858 x 935 x 445 x 979 = 349495510650
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
935 : 1, 5, 11, 17, 55, 85, 187, 935
445 : 1, 5, 89, 445
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,935,445,979, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
935:5x 11x 17
445:5x 89
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 11x 89 = 53845
Therefore, the value for common factors is 53845.
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 = 349495510650/(1x53845)
LCM = 349495510650/53845
LCM = 6490770
Thus, we can understand that the LCM of 858,935,445,979 is 6490770.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 858, 935, 445, 979
1. What is the LCM of 858, 935, 445, 979?
Answer: LCM of 858, 935, 445, 979 is 6490770.
2. How to calculate the LCM of 858, 935, 445, 979?
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 858, 935, 445, 979.
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}.