LCM of 597, 715, 585, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 715, 585, 906 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 597, 715, 585, 906. So, keep reading to learn more.
Given numbers are 597,715,585,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,715,585,906 is 386730630.
Find LCM of 597,715,585,906 with Prime Factorization
| 3 | 597, 715, 585, 906 |
| 5 | 199, 715, 195, 302 |
| 13 | 199, 143, 39, 302 |
| 199, 11, 3, 302 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 199 x 11 x 3 x 302 = 386730630
Therefore, the lowest common multiple of 597,715,585,906 is 386730630.
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.
597 x 715 x 585 x 906 = 226237418550
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.
597 : 1, 3, 199, 597
715 : 1, 5, 11, 13, 55, 65, 143, 715
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,715,585,906, is 1.
Now, the common factors can be found like this.
597:3x 199
715:5x 11x 13
585:3x 3x 5x 13
906:2x 3x 151
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 5x 13 = 585
Therefore, the value for common factors is 585.
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 = 226237418550/(1x585)
LCM = 226237418550/585
LCM = 386730630
Thus, we can understand that the LCM of 597,715,585,906 is 386730630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 597, 715, 585, 906
1. What is the LCM of 597, 715, 585, 906?
Answer: LCM of 597, 715, 585, 906 is 386730630.
2. How to calculate the LCM of 597, 715, 585, 906?
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 597, 715, 585, 906.
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}.