LCM of 115, 298, 220, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 115, 298, 220, 198 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 115, 298, 220, 198. So, keep reading to learn more.
Given numbers are 115,298,220,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 115,298,220,198 is 6785460.
Find LCM of 115,298,220,198 with Prime Factorization
| 2 | 115, 298, 220, 198 |
| 5 | 115, 149, 110, 99 |
| 11 | 23, 149, 22, 99 |
| 23, 149, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 23 x 149 x 2 x 9 = 6785460
Therefore, the lowest common multiple of 115,298,220,198 is 6785460.
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.
115 x 298 x 220 x 198 = 1492801200
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.
115 : 1, 5, 23, 115
298 : 1, 2, 149, 298
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,298,220,198, is 1.
Now, the common factors can be found like this.
115:5x 23
298:2x 149
220:2x 2x 5x 11
198:2x 3x 3x 11
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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 1492801200/(1x220)
LCM = 1492801200/220
LCM = 6785460
Thus, we can understand that the LCM of 115,298,220,198 is 6785460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 115, 298, 220, 198
1. What is the LCM of 115, 298, 220, 198?
Answer: LCM of 115, 298, 220, 198 is 6785460.
2. How to calculate the LCM of 115, 298, 220, 198?
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 115, 298, 220, 198.
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}.