LCM of 282, 351, 514, 975, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 282, 351, 514, 975, 923 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 282, 351, 514, 975, 923. So, keep reading to learn more.
Given numbers are 282,351,514,975,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,351,514,975,923 is 15051037950.
Find LCM of 282,351,514,975,923 with Prime Factorization
| 2 | 282, 351, 514, 975, 923 |
| 3 | 141, 351, 257, 975, 923 |
| 13 | 47, 117, 257, 325, 923 |
| 47, 9, 257, 25, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 47 x 9 x 257 x 25 x 71 = 15051037950
Therefore, the lowest common multiple of 282,351,514,975,923 is 15051037950.
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.
282 x 351 x 514 x 975 x 923 = 45785257443900
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
351 : 1, 3, 9, 13, 27, 39, 117, 351
514 : 1, 2, 257, 514
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,351,514,975,923, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
351:3x 3x 3x 13
514:2x 257
975:3x 5x 5x 13
923:13x 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 3x 3x 13x 13 = 3042
Therefore, the value for common factors is 3042.
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 = 45785257443900/(1x3042)
LCM = 45785257443900/3042
LCM = 15051037950
Thus, we can understand that the LCM of 282,351,514,975,923 is 15051037950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 282, 351, 514, 975, 923
1. What is the LCM of 282, 351, 514, 975, 923?
Answer: LCM of 282, 351, 514, 975, 923 is 15051037950.
2. How to calculate the LCM of 282, 351, 514, 975, 923?
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 282, 351, 514, 975, 923.
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}.