LCM of 145, 509, 869, 474, 797
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 145, 509, 869, 474, 797 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 145, 509, 869, 474, 797. So, keep reading to learn more.
Given numbers are 145,509,869,474,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,509,869,474,797 is 306700958190.
Find LCM of 145,509,869,474,797 with Prime Factorization
| 79 | 145, 509, 869, 474, 797 |
| 145, 509, 11, 6, 797 |
Multiply the prime numbers at the bottom and the left side.
79 x 145 x 509 x 11 x 6 x 797 = 306700958190
Therefore, the lowest common multiple of 145,509,869,474,797 is 306700958190.
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.
145 x 509 x 869 x 474 x 797 = 24229375697010
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.
145 : 1, 5, 29, 145
509 : 1, 509
869 : 1, 11, 79, 869
474 : 1, 2, 3, 6, 79, 158, 237, 474
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,509,869,474,797, is 1.
Now, the common factors can be found like this.
145:5x 29
509:509
869:11x 79
474:2x 3x 79
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
79 = 79
Therefore, the value for common factors is 79.
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 = 24229375697010/(1x79)
LCM = 24229375697010/79
LCM = 306700958190
Thus, we can understand that the LCM of 145,509,869,474,797 is 306700958190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 145, 509, 869, 474, 797
1. What is the LCM of 145, 509, 869, 474, 797?
Answer: LCM of 145, 509, 869, 474, 797 is 306700958190.
2. How to calculate the LCM of 145, 509, 869, 474, 797?
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 145, 509, 869, 474, 797.
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}.