LCM of 198, 294, 107, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 198, 294, 107, 296 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, 294, 107, 296. So, keep reading to learn more.
Given numbers are 198,294,107,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 198,294,107,296 is 153640872.
Find LCM of 198,294,107,296 with Prime Factorization
| 2 | 198, 294, 107, 296 |
| 3 | 99, 147, 107, 148 |
| 33, 49, 107, 148 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 33 x 49 x 107 x 148 = 153640872
Therefore, the lowest common multiple of 198,294,107,296 is 153640872.
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 294 x 107 x 296 = 1843690464
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
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
107 : 1, 107
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,294,107,296, is 1.
Now, the common factors can be found like this.
198:2x 3x 3x 11
294:2x 3x 7x 7
107:107
296:2x 2x 2x 37
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 3 = 12
Therefore, the value for common factors is 12.
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 = 1843690464/(1x12)
LCM = 1843690464/12
LCM = 153640872
Thus, we can understand that the LCM of 198,294,107,296 is 153640872.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 198, 294, 107, 296
1. What is the LCM of 198, 294, 107, 296?
Answer: LCM of 198, 294, 107, 296 is 153640872.
2. How to calculate the LCM of 198, 294, 107, 296?
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, 294, 107, 296.
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}.