LCM of 198, 224, 927, 432, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 224, 927, 432, 950 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 198, 224, 927, 432, 950. So, keep reading to learn more.
Given numbers are 198,224,927,432,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,224,927,432,950 is 3254882400.
Find LCM of 198,224,927,432,950 with Prime Factorization
| 2 | 198, 224, 927, 432, 950 |
| 2 | 99, 112, 927, 216, 475 |
| 2 | 99, 56, 927, 108, 475 |
| 2 | 99, 28, 927, 54, 475 |
| 3 | 99, 14, 927, 27, 475 |
| 3 | 33, 14, 309, 9, 475 |
| 11, 14, 103, 3, 475 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 11 x 14 x 103 x 3 x 475 = 3254882400
Therefore, the lowest common multiple of 198,224,927,432,950 is 3254882400.
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.
198 x 224 x 927 x 432 x 950 = 16873310361600
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.
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
927 : 1, 3, 9, 103, 309, 927
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,224,927,432,950, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
224:2x 2x 2x 2x 2x 7
927:3x 3x 103
432:2x 2x 2x 2x 3x 3x 3
950:2x 5x 5x 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 2x 2x 2x 3x 3x 3x 3 = 5184
Therefore, the value for common factors is 5184.
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 = 16873310361600/(1x5184)
LCM = 16873310361600/5184
LCM = 3254882400
Thus, we can understand that the LCM of 198,224,927,432,950 is 3254882400.
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FAQs on LCM of 198, 224, 927, 432, 950
1. What is the LCM of 198, 224, 927, 432, 950?
Answer: LCM of 198, 224, 927, 432, 950 is 3254882400.
2. How to calculate the LCM of 198, 224, 927, 432, 950?
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 198, 224, 927, 432, 950.
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}.