LCM of 935, 501, 890, 852, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 501, 890, 852, 867 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 935, 501, 890, 852, 867. So, keep reading to learn more.
Given numbers are 935,501,890,852,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,501,890,852,867 is 201282772020.
Find LCM of 935,501,890,852,867 with Prime Factorization
| 2 | 935, 501, 890, 852, 867 |
| 3 | 935, 501, 445, 426, 867 |
| 5 | 935, 167, 445, 142, 289 |
| 17 | 187, 167, 89, 142, 289 |
| 11, 167, 89, 142, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 11 x 167 x 89 x 142 x 17 = 201282772020
Therefore, the lowest common multiple of 935,501,890,852,867 is 201282772020.
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.
935 x 501 x 890 x 852 x 867 = 307962641190600
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
501 : 1, 3, 167, 501
890 : 1, 2, 5, 10, 89, 178, 445, 890
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,501,890,852,867, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
501:3x 167
890:2x 5x 89
852:2x 2x 3x 71
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 17 = 1530
Therefore, the value for common factors is 1530.
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 = 307962641190600/(1x1530)
LCM = 307962641190600/1530
LCM = 201282772020
Thus, we can understand that the LCM of 935,501,890,852,867 is 201282772020.
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FAQs on LCM of 935, 501, 890, 852, 867
1. What is the LCM of 935, 501, 890, 852, 867?
Answer: LCM of 935, 501, 890, 852, 867 is 201282772020.
2. How to calculate the LCM of 935, 501, 890, 852, 867?
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 935, 501, 890, 852, 867.
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}.