LCM of 514, 998, 499, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 998, 499, 142 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 514, 998, 499, 142. So, keep reading to learn more.
Given numbers are 514,998,499,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,998,499,142 is 18210506.
Find LCM of 514,998,499,142 with Prime Factorization
| 2 | 514, 998, 499, 142 |
| 499 | 257, 499, 499, 71 |
| 257, 1, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 257 x 1 x 1 x 71 = 18210506
Therefore, the lowest common multiple of 514,998,499,142 is 18210506.
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.
514 x 998 x 499 x 142 = 36348169976
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.
514 : 1, 2, 257, 514
998 : 1, 2, 499, 998
499 : 1, 499
142 : 1, 2, 71, 142
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,998,499,142, is 1.
Now, the common factors can be found like this.
514:2x 257
998:2x 499
499:499
142:2x 71
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 499 = 1996
Therefore, the value for common factors is 1996.
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 = 36348169976/(1x1996)
LCM = 36348169976/1996
LCM = 18210506
Thus, we can understand that the LCM of 514,998,499,142 is 18210506.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 514, 998, 499, 142
1. What is the LCM of 514, 998, 499, 142?
Answer: LCM of 514, 998, 499, 142 is 18210506.
2. How to calculate the LCM of 514, 998, 499, 142?
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 514, 998, 499, 142.
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}.