LCM of 253, 795, 341, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 795, 341, 589 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, 795, 341, 589. So, keep reading to learn more.
Given numbers are 253,795,341,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,795,341,589 is 118468515.
Find LCM of 253,795,341,589 with Prime Factorization
| 11 | 253, 795, 341, 589 |
| 31 | 23, 795, 31, 589 |
| 23, 795, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
11 x 31 x 23 x 795 x 1 x 19 = 118468515
Therefore, the lowest common multiple of 253,795,341,589 is 118468515.
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 795 x 341 x 589 = 40397763615
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
795 : 1, 3, 5, 15, 53, 159, 265, 795
341 : 1, 11, 31, 341
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,795,341,589, is 1.
Now, the common factors can be found like this.
253:11x 23
795:3x 5x 53
341:11x 31
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 31 = 341
Therefore, the value for common factors is 341.
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 = 40397763615/(1x341)
LCM = 40397763615/341
LCM = 118468515
Thus, we can understand that the LCM of 253,795,341,589 is 118468515.
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FAQs on LCM of 253, 795, 341, 589
1. What is the LCM of 253, 795, 341, 589?
Answer: LCM of 253, 795, 341, 589 is 118468515.
2. How to calculate the LCM of 253, 795, 341, 589?
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, 795, 341, 589.
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}.