LCM of 400, 935, 884, 874, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 400, 935, 884, 874, 194 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 400, 935, 884, 874, 194. So, keep reading to learn more.
Given numbers are 400,935,884,874,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 400,935,884,874,194 is 41219063600.
Find LCM of 400,935,884,874,194 with Prime Factorization
| 2 | 400, 935, 884, 874, 194 |
| 2 | 200, 935, 442, 437, 97 |
| 5 | 100, 935, 221, 437, 97 |
| 17 | 20, 187, 221, 437, 97 |
| 20, 11, 13, 437, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 20 x 11 x 13 x 437 x 97 = 41219063600
Therefore, the lowest common multiple of 400,935,884,874,194 is 41219063600.
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.
400 x 935 x 884 x 874 x 194 = 56057926496000
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.
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
935 : 1, 5, 11, 17, 55, 85, 187, 935
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
874 : 1, 2, 19, 23, 38, 46, 437, 874
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,935,884,874,194, is 1.
Now, the common factors can be found like this.
400:2x 2x 2x 2x 5x 5
935:5x 11x 17
884:2x 2x 13x 17
874:2x 19x 23
194:2x 97
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 5x 17 = 1360
Therefore, the value for common factors is 1360.
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 = 56057926496000/(1x1360)
LCM = 56057926496000/1360
LCM = 41219063600
Thus, we can understand that the LCM of 400,935,884,874,194 is 41219063600.
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FAQs on LCM of 400, 935, 884, 874, 194
1. What is the LCM of 400, 935, 884, 874, 194?
Answer: LCM of 400, 935, 884, 874, 194 is 41219063600.
2. How to calculate the LCM of 400, 935, 884, 874, 194?
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 400, 935, 884, 874, 194.
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}.