LCM of 914, 935, 814, 327, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 935, 814, 327, 372 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 914, 935, 814, 327, 372. So, keep reading to learn more.
Given numbers are 914,935,814,327,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,935,814,327,372 is 641060433420.
Find LCM of 914,935,814,327,372 with Prime Factorization
| 2 | 914, 935, 814, 327, 372 |
| 3 | 457, 935, 407, 327, 186 |
| 11 | 457, 935, 407, 109, 62 |
| 457, 85, 37, 109, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 457 x 85 x 37 x 109 x 62 = 641060433420
Therefore, the lowest common multiple of 914,935,814,327,372 is 641060433420.
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.
914 x 935 x 814 x 327 x 372 = 84619977211440
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.
914 : 1, 2, 457, 914
935 : 1, 5, 11, 17, 55, 85, 187, 935
814 : 1, 2, 11, 22, 37, 74, 407, 814
327 : 1, 3, 109, 327
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,935,814,327,372, is 1.
Now, the common factors can be found like this.
914:2x 457
935:5x 11x 17
814:2x 11x 37
327:3x 109
372:2x 2x 3x 31
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 84619977211440/(1x132)
LCM = 84619977211440/132
LCM = 641060433420
Thus, we can understand that the LCM of 914,935,814,327,372 is 641060433420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 935, 814, 327, 372
1. What is the LCM of 914, 935, 814, 327, 372?
Answer: LCM of 914, 935, 814, 327, 372 is 641060433420.
2. How to calculate the LCM of 914, 935, 814, 327, 372?
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 914, 935, 814, 327, 372.
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}.