LCM of 233, 45, 517, 396
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 233, 45, 517, 396 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 233, 45, 517, 396. So, keep reading to learn more.
Given numbers are 233,45,517,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 233,45,517,396 is 21682980.
Find LCM of 233,45,517,396 with Prime Factorization
| 3 | 233, 45, 517, 396 |
| 3 | 233, 15, 517, 132 |
| 11 | 233, 5, 517, 44 |
| 233, 5, 47, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 233 x 5 x 47 x 4 = 21682980
Therefore, the lowest common multiple of 233,45,517,396 is 21682980.
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.
233 x 45 x 517 x 396 = 2146615020
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.
233 : 1, 233
45 : 1, 3, 5, 9, 15, 45
517 : 1, 11, 47, 517
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,45,517,396, is 1.
Now, the common factors can be found like this.
233:233
45:3x 3x 5
517:11x 47
396:2x 2x 3x 3x 11
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 11 = 99
Therefore, the value for common factors is 99.
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 = 2146615020/(1x99)
LCM = 2146615020/99
LCM = 21682980
Thus, we can understand that the LCM of 233,45,517,396 is 21682980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 233, 45, 517, 396
1. What is the LCM of 233, 45, 517, 396?
Answer: LCM of 233, 45, 517, 396 is 21682980.
2. How to calculate the LCM of 233, 45, 517, 396?
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 233, 45, 517, 396.
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}.