LCM of 514, 824, 204, 979, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 514, 824, 204, 979, 220 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, 824, 204, 979, 220. So, keep reading to learn more.
Given numbers are 514,824,204,979,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,824,204,979,220 is 52866822360.
Find LCM of 514,824,204,979,220 with Prime Factorization
| 2 | 514, 824, 204, 979, 220 |
| 2 | 257, 412, 102, 979, 110 |
| 11 | 257, 206, 51, 979, 55 |
| 257, 206, 51, 89, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 257 x 206 x 51 x 89 x 5 = 52866822360
Therefore, the lowest common multiple of 514,824,204,979,220 is 52866822360.
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 824 x 204 x 979 x 220 = 18609121470720
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
824 : 1, 2, 4, 8, 103, 206, 412, 824
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
979 : 1, 11, 89, 979
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,824,204,979,220, is 1.
Now, the common factors can be found like this.
514:2x 257
824:2x 2x 2x 103
204:2x 2x 3x 17
979:11x 89
220:2x 2x 5x 11
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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 18609121470720/(1x352)
LCM = 18609121470720/352
LCM = 52866822360
Thus, we can understand that the LCM of 514,824,204,979,220 is 52866822360.
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FAQs on LCM of 514, 824, 204, 979, 220
1. What is the LCM of 514, 824, 204, 979, 220?
Answer: LCM of 514, 824, 204, 979, 220 is 52866822360.
2. How to calculate the LCM of 514, 824, 204, 979, 220?
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, 824, 204, 979, 220.
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}.