LCM of 182, 299, 958, 642, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 299, 958, 642, 981 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 182, 299, 958, 642, 981. So, keep reading to learn more.
Given numbers are 182,299,958,642,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,299,958,642,981 is 210468701898.
Find LCM of 182,299,958,642,981 with Prime Factorization
| 2 | 182, 299, 958, 642, 981 |
| 3 | 91, 299, 479, 321, 981 |
| 13 | 91, 299, 479, 107, 327 |
| 7, 23, 479, 107, 327 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 7 x 23 x 479 x 107 x 327 = 210468701898
Therefore, the lowest common multiple of 182,299,958,642,981 is 210468701898.
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.
182 x 299 x 958 x 642 x 981 = 32833117496088
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
299 : 1, 13, 23, 299
958 : 1, 2, 479, 958
642 : 1, 2, 3, 6, 107, 214, 321, 642
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,299,958,642,981, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
299:13x 23
958:2x 479
642:2x 3x 107
981:3x 3x 109
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 32833117496088/(1x156)
LCM = 32833117496088/156
LCM = 210468701898
Thus, we can understand that the LCM of 182,299,958,642,981 is 210468701898.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 182, 299, 958, 642, 981
1. What is the LCM of 182, 299, 958, 642, 981?
Answer: LCM of 182, 299, 958, 642, 981 is 210468701898.
2. How to calculate the LCM of 182, 299, 958, 642, 981?
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 182, 299, 958, 642, 981.
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}.