LCM of 436, 247, 338, 186
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 247, 338, 186 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 436, 247, 338, 186. So, keep reading to learn more.
Given numbers are 436,247,338,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,247,338,186 is 130199628.
Find LCM of 436,247,338,186 with Prime Factorization
| 2 | 436, 247, 338, 186 |
| 13 | 218, 247, 169, 93 |
| 218, 19, 13, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 218 x 19 x 13 x 93 = 130199628
Therefore, the lowest common multiple of 436,247,338,186 is 130199628.
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.
436 x 247 x 338 x 186 = 6770380656
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.
436 : 1, 2, 4, 109, 218, 436
247 : 1, 13, 19, 247
338 : 1, 2, 13, 26, 169, 338
186 : 1, 2, 3, 6, 31, 62, 93, 186
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,247,338,186, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
247:13x 19
338:2x 13x 13
186:2x 3x 31
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 13 = 52
Therefore, the value for common factors is 52.
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 = 6770380656/(1x52)
LCM = 6770380656/52
LCM = 130199628
Thus, we can understand that the LCM of 436,247,338,186 is 130199628.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 436, 247, 338, 186
1. What is the LCM of 436, 247, 338, 186?
Answer: LCM of 436, 247, 338, 186 is 130199628.
2. How to calculate the LCM of 436, 247, 338, 186?
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 436, 247, 338, 186.
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}.