LCM of 144, 238, 198, 354, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 238, 198, 354, 236 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 144, 238, 198, 354, 236. So, keep reading to learn more.
Given numbers are 144,238,198,354,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,238,198,354,236 is 11121264.
Find LCM of 144,238,198,354,236 with Prime Factorization
| 2 | 144, 238, 198, 354, 236 |
| 2 | 72, 119, 99, 177, 118 |
| 3 | 36, 119, 99, 177, 59 |
| 3 | 12, 119, 33, 59, 59 |
| 59 | 4, 119, 11, 59, 59 |
| 4, 119, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 59 x 4 x 119 x 11 x 1 x 1 = 11121264
Therefore, the lowest common multiple of 144,238,198,354,236 is 11121264.
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.
144 x 238 x 198 x 354 x 236 = 566917553664
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
238 : 1, 2, 7, 14, 17, 34, 119, 238
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
354 : 1, 2, 3, 6, 59, 118, 177, 354
236 : 1, 2, 4, 59, 118, 236
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,238,198,354,236, is 2.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
238:2x 7x 17
198:2x 3x 3x 11
354:2x 3x 59
236:2x 2x 59
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 3x 3x 3x 59 = 25488
Therefore, the value for common factors is 25488.
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 = 566917553664/(2x25488)
LCM = 566917553664/50976
LCM = 11121264
Thus, we can understand that the LCM of 144,238,198,354,236 is 11121264.
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FAQs on LCM of 144, 238, 198, 354, 236
1. What is the LCM of 144, 238, 198, 354, 236?
Answer: LCM of 144, 238, 198, 354, 236 is 11121264.
2. How to calculate the LCM of 144, 238, 198, 354, 236?
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 144, 238, 198, 354, 236.
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}.