LCM of 230, 587, 795, 221, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 587, 795, 221, 635 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 230, 587, 795, 221, 635. So, keep reading to learn more.
Given numbers are 230,587,795,221,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,587,795,221,635 is 602502781530.
Find LCM of 230,587,795,221,635 with Prime Factorization
| 5 | 230, 587, 795, 221, 635 |
| 46, 587, 159, 221, 127 |
Multiply the prime numbers at the bottom and the left side.
5 x 46 x 587 x 159 x 221 x 127 = 602502781530
Therefore, the lowest common multiple of 230,587,795,221,635 is 602502781530.
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.
230 x 587 x 795 x 221 x 635 = 15062569538250
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
587 : 1, 587
795 : 1, 3, 5, 15, 53, 159, 265, 795
221 : 1, 13, 17, 221
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,587,795,221,635, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
587:587
795:3x 5x 53
221:13x 17
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 15062569538250/(1x25)
LCM = 15062569538250/25
LCM = 602502781530
Thus, we can understand that the LCM of 230,587,795,221,635 is 602502781530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 587, 795, 221, 635
1. What is the LCM of 230, 587, 795, 221, 635?
Answer: LCM of 230, 587, 795, 221, 635 is 602502781530.
2. How to calculate the LCM of 230, 587, 795, 221, 635?
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 230, 587, 795, 221, 635.
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}.