LCM of 514, 210, 529, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 210, 529, 833 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, 210, 529, 833. So, keep reading to learn more.
Given numbers are 514,210,529,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,210,529,833 is 3397465470.
Find LCM of 514,210,529,833 with Prime Factorization
| 2 | 514, 210, 529, 833 |
| 7 | 257, 105, 529, 833 |
| 257, 15, 529, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 257 x 15 x 529 x 119 = 3397465470
Therefore, the lowest common multiple of 514,210,529,833 is 3397465470.
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 210 x 529 x 833 = 47564516580
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
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
529 : 1, 23, 529
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,210,529,833, is 1.
Now, the common factors can be found like this.
514:2x 257
210:2x 3x 5x 7
529:23x 23
833:7x 7x 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 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 = 47564516580/(1x14)
LCM = 47564516580/14
LCM = 3397465470
Thus, we can understand that the LCM of 514,210,529,833 is 3397465470.
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FAQs on LCM of 514, 210, 529, 833
1. What is the LCM of 514, 210, 529, 833?
Answer: LCM of 514, 210, 529, 833 is 3397465470.
2. How to calculate the LCM of 514, 210, 529, 833?
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, 210, 529, 833.
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}.