LCM of 213, 923, 117, 916, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 923, 117, 916, 514 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 213, 923, 117, 916, 514. So, keep reading to learn more.
Given numbers are 213,923,117,916,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,923,117,916,514 is 1955567484.
Find LCM of 213,923,117,916,514 with Prime Factorization
| 2 | 213, 923, 117, 916, 514 |
| 3 | 213, 923, 117, 458, 257 |
| 13 | 71, 923, 39, 458, 257 |
| 71 | 71, 71, 3, 458, 257 |
| 1, 1, 3, 458, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 71 x 1 x 1 x 3 x 458 x 257 = 1955567484
Therefore, the lowest common multiple of 213,923,117,916,514 is 1955567484.
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.
213 x 923 x 117 x 916 x 514 = 10829932726392
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.
213 : 1, 3, 71, 213
923 : 1, 13, 71, 923
117 : 1, 3, 9, 13, 39, 117
916 : 1, 2, 4, 229, 458, 916
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,923,117,916,514, is 1.
Now, the common factors can be found like this.
213:3x 71
923:13x 71
117:3x 3x 13
916:2x 2x 229
514:2x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 71 = 5538
Therefore, the value for common factors is 5538.
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 = 10829932726392/(1x5538)
LCM = 10829932726392/5538
LCM = 1955567484
Thus, we can understand that the LCM of 213,923,117,916,514 is 1955567484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 213, 923, 117, 916, 514
1. What is the LCM of 213, 923, 117, 916, 514?
Answer: LCM of 213, 923, 117, 916, 514 is 1955567484.
2. How to calculate the LCM of 213, 923, 117, 916, 514?
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 213, 923, 117, 916, 514.
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}.