LCM of 333, 360, 213, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 333, 360, 213, 419 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 333, 360, 213, 419. So, keep reading to learn more.
Given numbers are 333,360,213,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 333,360,213,419 is 396256680.
Find LCM of 333,360,213,419 with Prime Factorization
| 3 | 333, 360, 213, 419 |
| 3 | 111, 120, 71, 419 |
| 37, 40, 71, 419 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 37 x 40 x 71 x 419 = 396256680
Therefore, the lowest common multiple of 333,360,213,419 is 396256680.
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.
333 x 360 x 213 x 419 = 10698930360
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.
333 : 1, 3, 9, 37, 111, 333
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
213 : 1, 3, 71, 213
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,360,213,419, is 1.
Now, the common factors can be found like this.
333:3x 3x 37
360:2x 2x 2x 3x 3x 5
213:3x 71
419:419
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 3 = 27
Therefore, the value for common factors is 27.
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 = 10698930360/(1x27)
LCM = 10698930360/27
LCM = 396256680
Thus, we can understand that the LCM of 333,360,213,419 is 396256680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 333, 360, 213, 419
1. What is the LCM of 333, 360, 213, 419?
Answer: LCM of 333, 360, 213, 419 is 396256680.
2. How to calculate the LCM of 333, 360, 213, 419?
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 333, 360, 213, 419.
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}.