LCM of 235, 585, 985, 855, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 235, 585, 985, 855, 721 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 235, 585, 985, 855, 721. So, keep reading to learn more.
Given numbers are 235,585,985,855,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 235,585,985,855,721 is 74200838985.
Find LCM of 235,585,985,855,721 with Prime Factorization
| 3 | 235, 585, 985, 855, 721 |
| 3 | 235, 195, 985, 285, 721 |
| 5 | 235, 65, 985, 95, 721 |
| 47, 13, 197, 19, 721 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 47 x 13 x 197 x 19 x 721 = 74200838985
Therefore, the lowest common multiple of 235,585,985,855,721 is 74200838985.
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.
235 x 585 x 985 x 855 x 721 = 83475943858125
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.
235 : 1, 5, 47, 235
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
985 : 1, 5, 197, 985
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,585,985,855,721, is 1.
Now, the common factors can be found like this.
235:5x 47
585:3x 3x 5x 13
985:5x 197
855:3x 3x 5x 19
721:7x 103
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 5x 5 = 1125
Therefore, the value for common factors is 1125.
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 = 83475943858125/(1x1125)
LCM = 83475943858125/1125
LCM = 74200838985
Thus, we can understand that the LCM of 235,585,985,855,721 is 74200838985.
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FAQs on LCM of 235, 585, 985, 855, 721
1. What is the LCM of 235, 585, 985, 855, 721?
Answer: LCM of 235, 585, 985, 855, 721 is 74200838985.
2. How to calculate the LCM of 235, 585, 985, 855, 721?
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 235, 585, 985, 855, 721.
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}.