LCM of 893, 351, 728, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 351, 728, 442 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 893, 351, 728, 442. So, keep reading to learn more.
Given numbers are 893,351,728,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,351,728,442 is 298397736.
Find LCM of 893,351,728,442 with Prime Factorization
| 2 | 893, 351, 728, 442 |
| 13 | 893, 351, 364, 221 |
| 893, 27, 28, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 893 x 27 x 28 x 17 = 298397736
Therefore, the lowest common multiple of 893,351,728,442 is 298397736.
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.
893 x 351 x 728 x 442 = 100858434768
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.
893 : 1, 19, 47, 893
351 : 1, 3, 9, 13, 27, 39, 117, 351
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,351,728,442, is 1.
Now, the common factors can be found like this.
893:19x 47
351:3x 3x 3x 13
728:2x 2x 2x 7x 13
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 100858434768/(1x338)
LCM = 100858434768/338
LCM = 298397736
Thus, we can understand that the LCM of 893,351,728,442 is 298397736.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 893, 351, 728, 442
1. What is the LCM of 893, 351, 728, 442?
Answer: LCM of 893, 351, 728, 442 is 298397736.
2. How to calculate the LCM of 893, 351, 728, 442?
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 893, 351, 728, 442.
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}.