LCM of 251, 595, 143, 581, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 251, 595, 143, 581, 945 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 251, 595, 143, 581, 945. So, keep reading to learn more.
Given numbers are 251,595,143,581,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,595,143,581,945 is 47859546735.
Find LCM of 251,595,143,581,945 with Prime Factorization
| 5 | 251, 595, 143, 581, 945 |
| 7 | 251, 119, 143, 581, 189 |
| 251, 17, 143, 83, 27 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 251 x 17 x 143 x 83 x 27 = 47859546735
Therefore, the lowest common multiple of 251,595,143,581,945 is 47859546735.
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.
251 x 595 x 143 x 581 x 945 = 11725588950075
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.
251 : 1, 251
595 : 1, 5, 7, 17, 35, 85, 119, 595
143 : 1, 11, 13, 143
581 : 1, 7, 83, 581
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,595,143,581,945, is 1.
Now, the common factors can be found like this.
251:251
595:5x 7x 17
143:11x 13
581:7x 83
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 11725588950075/(1x245)
LCM = 11725588950075/245
LCM = 47859546735
Thus, we can understand that the LCM of 251,595,143,581,945 is 47859546735.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 251, 595, 143, 581, 945
1. What is the LCM of 251, 595, 143, 581, 945?
Answer: LCM of 251, 595, 143, 581, 945 is 47859546735.
2. How to calculate the LCM of 251, 595, 143, 581, 945?
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 251, 595, 143, 581, 945.
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}.