LCM of 187, 511, 357, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 511, 357, 982 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 187, 511, 357, 982. So, keep reading to learn more.
Given numbers are 187,511,357,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,511,357,982 is 281510922.
Find LCM of 187,511,357,982 with Prime Factorization
| 7 | 187, 511, 357, 982 |
| 17 | 187, 73, 51, 982 |
| 11, 73, 3, 982 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 11 x 73 x 3 x 982 = 281510922
Therefore, the lowest common multiple of 187,511,357,982 is 281510922.
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.
187 x 511 x 357 x 982 = 33499799718
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.
187 : 1, 11, 17, 187
511 : 1, 7, 73, 511
357 : 1, 3, 7, 17, 21, 51, 119, 357
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,511,357,982, is 1.
Now, the common factors can be found like this.
187:11x 17
511:7x 73
357:3x 7x 17
982:2x 491
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 33499799718/(1x119)
LCM = 33499799718/119
LCM = 281510922
Thus, we can understand that the LCM of 187,511,357,982 is 281510922.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 187, 511, 357, 982
1. What is the LCM of 187, 511, 357, 982?
Answer: LCM of 187, 511, 357, 982 is 281510922.
2. How to calculate the LCM of 187, 511, 357, 982?
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 187, 511, 357, 982.
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}.