LCM of 234, 198, 505, 263
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 198, 505, 263 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 234, 198, 505, 263. So, keep reading to learn more.
Given numbers are 234,198,505,263
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,198,505,263 is 341865810.
Find LCM of 234,198,505,263 with Prime Factorization
| 2 | 234, 198, 505, 263 |
| 3 | 117, 99, 505, 263 |
| 3 | 39, 33, 505, 263 |
| 13, 11, 505, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 11 x 505 x 263 = 341865810
Therefore, the lowest common multiple of 234,198,505,263 is 341865810.
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.
234 x 198 x 505 x 263 = 6153584580
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
505 : 1, 5, 101, 505
263 : 1, 263
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,198,505,263, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
198:2x 3x 3x 11
505:5x 101
263:263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 6153584580/(1x18)
LCM = 6153584580/18
LCM = 341865810
Thus, we can understand that the LCM of 234,198,505,263 is 341865810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 234, 198, 505, 263
1. What is the LCM of 234, 198, 505, 263?
Answer: LCM of 234, 198, 505, 263 is 341865810.
2. How to calculate the LCM of 234, 198, 505, 263?
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 234, 198, 505, 263.
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}.