LCM of 658, 843, 994, 284, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 843, 994, 284, 928 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 658, 843, 994, 284, 928. So, keep reading to learn more.
Given numbers are 658,843,994,284,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,843,994,284,928 is 18273839136.
Find LCM of 658,843,994,284,928 with Prime Factorization
| 2 | 658, 843, 994, 284, 928 |
| 2 | 329, 843, 497, 142, 464 |
| 7 | 329, 843, 497, 71, 232 |
| 71 | 47, 843, 71, 71, 232 |
| 47, 843, 1, 1, 232 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 71 x 47 x 843 x 1 x 1 x 232 = 18273839136
Therefore, the lowest common multiple of 658,843,994,284,928 is 18273839136.
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.
658 x 843 x 994 x 284 x 928 = 145313568809472
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
843 : 1, 3, 281, 843
994 : 1, 2, 7, 14, 71, 142, 497, 994
284 : 1, 2, 4, 71, 142, 284
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,843,994,284,928, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
843:3x 281
994:2x 7x 71
284:2x 2x 71
928:2x 2x 2x 2x 2x 29
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 7x 71 = 7952
Therefore, the value for common factors is 7952.
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 = 145313568809472/(1x7952)
LCM = 145313568809472/7952
LCM = 18273839136
Thus, we can understand that the LCM of 658,843,994,284,928 is 18273839136.
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FAQs on LCM of 658, 843, 994, 284, 928
1. What is the LCM of 658, 843, 994, 284, 928?
Answer: LCM of 658, 843, 994, 284, 928 is 18273839136.
2. How to calculate the LCM of 658, 843, 994, 284, 928?
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 658, 843, 994, 284, 928.
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}.