LCM of 874, 486, 494, 284, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 486, 494, 284, 896 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 874, 486, 494, 284, 896. So, keep reading to learn more.
Given numbers are 874,486,494,284,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,486,494,284,896 is 87820806528.
Find LCM of 874,486,494,284,896 with Prime Factorization
| 2 | 874, 486, 494, 284, 896 |
| 2 | 437, 243, 247, 142, 448 |
| 19 | 437, 243, 247, 71, 224 |
| 23, 243, 13, 71, 224 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 23 x 243 x 13 x 71 x 224 = 87820806528
Therefore, the lowest common multiple of 874,486,494,284,896 is 87820806528.
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.
874 x 486 x 494 x 284 x 896 = 53395050369024
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
494 : 1, 2, 13, 19, 26, 38, 247, 494
284 : 1, 2, 4, 71, 142, 284
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,486,494,284,896, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
486:2x 3x 3x 3x 3x 3
494:2x 13x 19
284:2x 2x 71
896:2x 2x 2x 2x 2x 2x 2x 7
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 19 = 304
Therefore, the value for common factors is 304.
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 = 53395050369024/(2x304)
LCM = 53395050369024/608
LCM = 87820806528
Thus, we can understand that the LCM of 874,486,494,284,896 is 87820806528.
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FAQs on LCM of 874, 486, 494, 284, 896
1. What is the LCM of 874, 486, 494, 284, 896?
Answer: LCM of 874, 486, 494, 284, 896 is 87820806528.
2. How to calculate the LCM of 874, 486, 494, 284, 896?
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 874, 486, 494, 284, 896.
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}.