LCM of 422, 693, 342, 990, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 693, 342, 990, 304 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 422, 693, 342, 990, 304. So, keep reading to learn more.
Given numbers are 422,693,342,990,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,693,342,990,304 is 222258960.
Find LCM of 422,693,342,990,304 with Prime Factorization
| 2 | 422, 693, 342, 990, 304 |
| 3 | 211, 693, 171, 495, 152 |
| 3 | 211, 231, 57, 165, 152 |
| 11 | 211, 77, 19, 55, 152 |
| 19 | 211, 7, 19, 5, 152 |
| 211, 7, 1, 5, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 19 x 211 x 7 x 1 x 5 x 8 = 222258960
Therefore, the lowest common multiple of 422,693,342,990,304 is 222258960.
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.
422 x 693 x 342 x 990 x 304 = 30100975470720
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.
422 : 1, 2, 211, 422
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,693,342,990,304, is 1.
Now, the common factors can be found like this.
422:2x 211
693:3x 3x 7x 11
342:2x 3x 3x 19
990:2x 3x 3x 5x 11
304:2x 2x 2x 2x 19
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 2x 3x 3x 3x 3x 11x 19 = 135432
Therefore, the value for common factors is 135432.
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 = 30100975470720/(1x135432)
LCM = 30100975470720/135432
LCM = 222258960
Thus, we can understand that the LCM of 422,693,342,990,304 is 222258960.
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FAQs on LCM of 422, 693, 342, 990, 304
1. What is the LCM of 422, 693, 342, 990, 304?
Answer: LCM of 422, 693, 342, 990, 304 is 222258960.
2. How to calculate the LCM of 422, 693, 342, 990, 304?
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 422, 693, 342, 990, 304.
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}.