LCM of 253, 595, 115, 471
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 595, 115, 471 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, 595, 115, 471. So, keep reading to learn more.
Given numbers are 253,595,115,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,595,115,471 is 70901985.
Find LCM of 253,595,115,471 with Prime Factorization
| 5 | 253, 595, 115, 471 |
| 23 | 253, 119, 23, 471 |
| 11, 119, 1, 471 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 11 x 119 x 1 x 471 = 70901985
Therefore, the lowest common multiple of 253,595,115,471 is 70901985.
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 595 x 115 x 471 = 8153728275
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
595 : 1, 5, 7, 17, 35, 85, 119, 595
115 : 1, 5, 23, 115
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,595,115,471, is 1.
Now, the common factors can be found like this.
253:11x 23
595:5x 7x 17
115:5x 23
471:3x 157
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 = 8153728275/(1x115)
LCM = 8153728275/115
LCM = 70901985
Thus, we can understand that the LCM of 253,595,115,471 is 70901985.
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FAQs on LCM of 253, 595, 115, 471
1. What is the LCM of 253, 595, 115, 471?
Answer: LCM of 253, 595, 115, 471 is 70901985.
2. How to calculate the LCM of 253, 595, 115, 471?
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, 595, 115, 471.
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}.