LCM of 514, 629, 567, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 629, 567, 994 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, 629, 567, 994. So, keep reading to learn more.
Given numbers are 514,629,567,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,629,567,994 is 13015329642.
Find LCM of 514,629,567,994 with Prime Factorization
| 2 | 514, 629, 567, 994 |
| 7 | 257, 629, 567, 497 |
| 257, 629, 81, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 257 x 629 x 81 x 71 = 13015329642
Therefore, the lowest common multiple of 514,629,567,994 is 13015329642.
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 629 x 567 x 994 = 182214614988
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
629 : 1, 17, 37, 629
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,629,567,994, is 1.
Now, the common factors can be found like this.
514:2x 257
629:17x 37
567:3x 3x 3x 3x 7
994:2x 7x 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 7 = 14
Therefore, the value for common factors is 14.
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 = 182214614988/(1x14)
LCM = 182214614988/14
LCM = 13015329642
Thus, we can understand that the LCM of 514,629,567,994 is 13015329642.
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FAQs on LCM of 514, 629, 567, 994
1. What is the LCM of 514, 629, 567, 994?
Answer: LCM of 514, 629, 567, 994 is 13015329642.
2. How to calculate the LCM of 514, 629, 567, 994?
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, 629, 567, 994.
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}.