LCM of 627, 858, 165, 923, 577
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 858, 165, 923, 577 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 627, 858, 165, 923, 577. So, keep reading to learn more.
Given numbers are 627,858,165,923,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,858,165,923,577 is 3339220170.
Find LCM of 627,858,165,923,577 with Prime Factorization
| 3 | 627, 858, 165, 923, 577 |
| 11 | 209, 286, 55, 923, 577 |
| 13 | 19, 26, 5, 923, 577 |
| 19, 2, 5, 71, 577 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 19 x 2 x 5 x 71 x 577 = 3339220170
Therefore, the lowest common multiple of 627,858,165,923,577 is 3339220170.
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.
627 x 858 x 165 x 923 x 577 = 47273339946690
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
165 : 1, 3, 5, 11, 15, 33, 55, 165
923 : 1, 13, 71, 923
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,858,165,923,577, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
858:2x 3x 11x 13
165:3x 5x 11
923:13x 71
577:577
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11x 13 = 14157
Therefore, the value for common factors is 14157.
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 = 47273339946690/(1x14157)
LCM = 47273339946690/14157
LCM = 3339220170
Thus, we can understand that the LCM of 627,858,165,923,577 is 3339220170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 627, 858, 165, 923, 577
1. What is the LCM of 627, 858, 165, 923, 577?
Answer: LCM of 627, 858, 165, 923, 577 is 3339220170.
2. How to calculate the LCM of 627, 858, 165, 923, 577?
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 627, 858, 165, 923, 577.
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}.