LCM of 845, 958, 715, 525, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 958, 715, 525, 189 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 845, 958, 715, 525, 189. So, keep reading to learn more.
Given numbers are 845,958,715,525,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,958,715,525,189 is 8414856450.
Find LCM of 845,958,715,525,189 with Prime Factorization
| 3 | 845, 958, 715, 525, 189 |
| 5 | 845, 958, 715, 175, 63 |
| 7 | 169, 958, 143, 35, 63 |
| 13 | 169, 958, 143, 5, 9 |
| 13, 958, 11, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 13 x 958 x 11 x 5 x 9 = 8414856450
Therefore, the lowest common multiple of 845,958,715,525,189 is 8414856450.
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.
845 x 958 x 715 x 525 x 189 = 57431395271250
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.
845 : 1, 5, 13, 65, 169, 845
958 : 1, 2, 479, 958
715 : 1, 5, 11, 13, 55, 65, 143, 715
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,958,715,525,189, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
958:2x 479
715:5x 11x 13
525:3x 5x 5x 7
189:3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7x 13 = 6825
Therefore, the value for common factors is 6825.
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 = 57431395271250/(1x6825)
LCM = 57431395271250/6825
LCM = 8414856450
Thus, we can understand that the LCM of 845,958,715,525,189 is 8414856450.
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FAQs on LCM of 845, 958, 715, 525, 189
1. What is the LCM of 845, 958, 715, 525, 189?
Answer: LCM of 845, 958, 715, 525, 189 is 8414856450.
2. How to calculate the LCM of 845, 958, 715, 525, 189?
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 845, 958, 715, 525, 189.
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}.