LCM of 363, 872, 330, 694, 411
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 872, 330, 694, 411 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 363, 872, 330, 694, 411. So, keep reading to learn more.
Given numbers are 363,872,330,694,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,872,330,694,411 is 75239024520.
Find LCM of 363,872,330,694,411 with Prime Factorization
| 2 | 363, 872, 330, 694, 411 |
| 3 | 363, 436, 165, 347, 411 |
| 11 | 121, 436, 55, 347, 137 |
| 11, 436, 5, 347, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 436 x 5 x 347 x 137 = 75239024520
Therefore, the lowest common multiple of 363,872,330,694,411 is 75239024520.
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.
363 x 872 x 330 x 694 x 411 = 29794653709920
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.
363 : 1, 3, 11, 33, 121, 363
872 : 1, 2, 4, 8, 109, 218, 436, 872
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
694 : 1, 2, 347, 694
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,872,330,694,411, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
872:2x 2x 2x 109
330:2x 3x 5x 11
694:2x 347
411:3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 29794653709920/(1x396)
LCM = 29794653709920/396
LCM = 75239024520
Thus, we can understand that the LCM of 363,872,330,694,411 is 75239024520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 363, 872, 330, 694, 411
1. What is the LCM of 363, 872, 330, 694, 411?
Answer: LCM of 363, 872, 330, 694, 411 is 75239024520.
2. How to calculate the LCM of 363, 872, 330, 694, 411?
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 363, 872, 330, 694, 411.
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}.