LCM of 134, 286, 998, 932, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 134, 286, 998, 932, 442 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 134, 286, 998, 932, 442. So, keep reading to learn more.
Given numbers are 134,286,998,932,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 134,286,998,932,442 is 75748880636.
Find LCM of 134,286,998,932,442 with Prime Factorization
| 2 | 134, 286, 998, 932, 442 |
| 13 | 67, 143, 499, 466, 221 |
| 67, 11, 499, 466, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 67 x 11 x 499 x 466 x 17 = 75748880636
Therefore, the lowest common multiple of 134,286,998,932,442 is 75748880636.
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.
134 x 286 x 998 x 932 x 442 = 15755767172288
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.
134 : 1, 2, 67, 134
286 : 1, 2, 11, 13, 22, 26, 143, 286
998 : 1, 2, 499, 998
932 : 1, 2, 4, 233, 466, 932
442 : 1, 2, 13, 17, 26, 34, 221, 442
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,286,998,932,442, is 2.
Now, the common factors can be found like this.
134:2x 67
286:2x 11x 13
998:2x 499
932:2x 2x 233
442:2x 13x 17
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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 15755767172288/(2x104)
LCM = 15755767172288/208
LCM = 75748880636
Thus, we can understand that the LCM of 134,286,998,932,442 is 75748880636.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 134, 286, 998, 932, 442
1. What is the LCM of 134, 286, 998, 932, 442?
Answer: LCM of 134, 286, 998, 932, 442 is 75748880636.
2. How to calculate the LCM of 134, 286, 998, 932, 442?
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 134, 286, 998, 932, 442.
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}.