LCM of 845, 341, 143, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 341, 143, 247 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, 341, 143, 247. So, keep reading to learn more.
Given numbers are 845,341,143,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,341,143,247 is 5474755.
Find LCM of 845,341,143,247 with Prime Factorization
| 11 | 845, 341, 143, 247 |
| 13 | 845, 31, 13, 247 |
| 65, 31, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 65 x 31 x 1 x 19 = 5474755
Therefore, the lowest common multiple of 845,341,143,247 is 5474755.
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 341 x 143 x 247 = 10177569545
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
341 : 1, 11, 31, 341
143 : 1, 11, 13, 143
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,341,143,247, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
341:11x 31
143:11x 13
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13x 13 = 1859
Therefore, the value for common factors is 1859.
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 = 10177569545/(1x1859)
LCM = 10177569545/1859
LCM = 5474755
Thus, we can understand that the LCM of 845,341,143,247 is 5474755.
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FAQs on LCM of 845, 341, 143, 247
1. What is the LCM of 845, 341, 143, 247?
Answer: LCM of 845, 341, 143, 247 is 5474755.
2. How to calculate the LCM of 845, 341, 143, 247?
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, 341, 143, 247.
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}.