LCM of 858, 935, 578, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 935, 578, 514 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, 578, 514. So, keep reading to learn more.
Given numbers are 858,935,578,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,935,578,514 is 318631170.
Find LCM of 858,935,578,514 with Prime Factorization
| 2 | 858, 935, 578, 514 |
| 11 | 429, 935, 289, 257 |
| 17 | 39, 85, 289, 257 |
| 39, 5, 17, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 39 x 5 x 17 x 257 = 318631170
Therefore, the lowest common multiple of 858,935,578,514 is 318631170.
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 578 x 514 = 238336115160
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
578 : 1, 2, 17, 34, 289, 578
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,935,578,514, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
935:5x 11x 17
578:2x 17x 17
514:2x 257
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 11x 17 = 748
Therefore, the value for common factors is 748.
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 = 238336115160/(1x748)
LCM = 238336115160/748
LCM = 318631170
Thus, we can understand that the LCM of 858,935,578,514 is 318631170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 858, 935, 578, 514
1. What is the LCM of 858, 935, 578, 514?
Answer: LCM of 858, 935, 578, 514 is 318631170.
2. How to calculate the LCM of 858, 935, 578, 514?
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, 578, 514.
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}.