LCM of 114, 266, 133, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 266, 133, 161 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 114, 266, 133, 161. So, keep reading to learn more.
Given numbers are 114,266,133,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,266,133,161 is 18354.
Find LCM of 114,266,133,161 with Prime Factorization
| 2 | 114, 266, 133, 161 |
| 7 | 57, 133, 133, 161 |
| 19 | 57, 19, 19, 23 |
| 3, 1, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 3 x 1 x 1 x 23 = 18354
Therefore, the lowest common multiple of 114,266,133,161 is 18354.
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.
114 x 266 x 133 x 161 = 649327812
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
266 : 1, 2, 7, 14, 19, 38, 133, 266
133 : 1, 7, 19, 133
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,266,133,161, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
266:2x 7x 19
133:7x 19
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 19x 19 = 35378
Therefore, the value for common factors is 35378.
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 = 649327812/(1x35378)
LCM = 649327812/35378
LCM = 18354
Thus, we can understand that the LCM of 114,266,133,161 is 18354.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 266, 133, 161
1. What is the LCM of 114, 266, 133, 161?
Answer: LCM of 114, 266, 133, 161 is 18354.
2. How to calculate the LCM of 114, 266, 133, 161?
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 114, 266, 133, 161.
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}.