LCM of 199, 284, 720, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 199, 284, 720, 378 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 199, 284, 720, 378. So, keep reading to learn more.
Given numbers are 199,284,720,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 199,284,720,378 is 213630480.
Find LCM of 199,284,720,378 with Prime Factorization
| 2 | 199, 284, 720, 378 |
| 2 | 199, 142, 360, 189 |
| 3 | 199, 71, 180, 189 |
| 3 | 199, 71, 60, 63 |
| 199, 71, 20, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 199 x 71 x 20 x 21 = 213630480
Therefore, the lowest common multiple of 199,284,720,378 is 213630480.
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.
199 x 284 x 720 x 378 = 15381394560
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.
199 : 1, 199
284 : 1, 2, 4, 71, 142, 284
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,284,720,378, is 1.
Now, the common factors can be found like this.
199:199
284:2x 2x 71
720:2x 2x 2x 2x 3x 3x 5
378:2x 3x 3x 3x 7
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 3 = 72
Therefore, the value for common factors is 72.
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 = 15381394560/(1x72)
LCM = 15381394560/72
LCM = 213630480
Thus, we can understand that the LCM of 199,284,720,378 is 213630480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 199, 284, 720, 378
1. What is the LCM of 199, 284, 720, 378?
Answer: LCM of 199, 284, 720, 378 is 213630480.
2. How to calculate the LCM of 199, 284, 720, 378?
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 199, 284, 720, 378.
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}.