LCM of 253, 905, 989, 525, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 905, 989, 525, 241 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 253, 905, 989, 525, 241. So, keep reading to learn more.
Given numbers are 253,905,989,525,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,905,989,525,241 is 249140250975.
Find LCM of 253,905,989,525,241 with Prime Factorization
| 5 | 253, 905, 989, 525, 241 |
| 23 | 253, 181, 989, 105, 241 |
| 11, 181, 43, 105, 241 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 11 x 181 x 43 x 105 x 241 = 249140250975
Therefore, the lowest common multiple of 253,905,989,525,241 is 249140250975.
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.
253 x 905 x 989 x 525 x 241 = 28651128862125
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.
253 : 1, 11, 23, 253
905 : 1, 5, 181, 905
989 : 1, 23, 43, 989
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,905,989,525,241, is 1.
Now, the common factors can be found like this.
253:11x 23
905:5x 181
989:23x 43
525:3x 5x 5x 7
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 28651128862125/(1x115)
LCM = 28651128862125/115
LCM = 249140250975
Thus, we can understand that the LCM of 253,905,989,525,241 is 249140250975.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 905, 989, 525, 241
1. What is the LCM of 253, 905, 989, 525, 241?
Answer: LCM of 253, 905, 989, 525, 241 is 249140250975.
2. How to calculate the LCM of 253, 905, 989, 525, 241?
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 253, 905, 989, 525, 241.
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}.