LCM of 117, 235, 860, 207, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 235, 860, 207, 621 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 117, 235, 860, 207, 621. So, keep reading to learn more.
Given numbers are 117,235,860,207,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,235,860,207,621 is 326310660.
Find LCM of 117,235,860,207,621 with Prime Factorization
| 3 | 117, 235, 860, 207, 621 |
| 3 | 39, 235, 860, 69, 207 |
| 5 | 13, 235, 860, 23, 69 |
| 23 | 13, 47, 172, 23, 69 |
| 13, 47, 172, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 23 x 13 x 47 x 172 x 1 x 3 = 326310660
Therefore, the lowest common multiple of 117,235,860,207,621 is 326310660.
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.
117 x 235 x 860 x 207 x 621 = 3039583797900
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.
117 : 1, 3, 9, 13, 39, 117
235 : 1, 5, 47, 235
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
207 : 1, 3, 9, 23, 69, 207
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,235,860,207,621, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
235:5x 47
860:2x 2x 5x 43
207:3x 3x 23
621:3x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 23 = 9315
Therefore, the value for common factors is 9315.
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 = 3039583797900/(1x9315)
LCM = 3039583797900/9315
LCM = 326310660
Thus, we can understand that the LCM of 117,235,860,207,621 is 326310660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 235, 860, 207, 621
1. What is the LCM of 117, 235, 860, 207, 621?
Answer: LCM of 117, 235, 860, 207, 621 is 326310660.
2. How to calculate the LCM of 117, 235, 860, 207, 621?
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 117, 235, 860, 207, 621.
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}.