LCM of 471, 306, 199, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 306, 199, 187 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 471, 306, 199, 187. So, keep reading to learn more.
Given numbers are 471,306,199,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,306,199,187 is 105163938.
Find LCM of 471,306,199,187 with Prime Factorization
| 3 | 471, 306, 199, 187 |
| 17 | 157, 102, 199, 187 |
| 157, 6, 199, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 157 x 6 x 199 x 11 = 105163938
Therefore, the lowest common multiple of 471,306,199,187 is 105163938.
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.
471 x 306 x 199 x 187 = 5363360838
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.
471 : 1, 3, 157, 471
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
199 : 1, 199
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,306,199,187, is 1.
Now, the common factors can be found like this.
471:3x 157
306:2x 3x 3x 17
199:199
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 5363360838/(1x51)
LCM = 5363360838/51
LCM = 105163938
Thus, we can understand that the LCM of 471,306,199,187 is 105163938.
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FAQs on LCM of 471, 306, 199, 187
1. What is the LCM of 471, 306, 199, 187?
Answer: LCM of 471, 306, 199, 187 is 105163938.
2. How to calculate the LCM of 471, 306, 199, 187?
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 471, 306, 199, 187.
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}.