LCM of 914, 286, 304, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 286, 304, 418 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, 286, 304, 418. So, keep reading to learn more.
Given numbers are 914,286,304,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,286,304,418 is 19866704.
Find LCM of 914,286,304,418 with Prime Factorization
| 2 | 914, 286, 304, 418 |
| 11 | 457, 143, 152, 209 |
| 19 | 457, 13, 152, 19 |
| 457, 13, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 457 x 13 x 8 x 1 = 19866704
Therefore, the lowest common multiple of 914,286,304,418 is 19866704.
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 286 x 304 x 418 = 33217129088
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
286 : 1, 2, 11, 13, 22, 26, 143, 286
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
418 : 1, 2, 11, 19, 22, 38, 209, 418
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,286,304,418, is 2.
Now, the common factors can be found like this.
914:2x 457
286:2x 11x 13
304:2x 2x 2x 2x 19
418:2x 11x 19
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 33217129088/(2x836)
LCM = 33217129088/1672
LCM = 19866704
Thus, we can understand that the LCM of 914,286,304,418 is 19866704.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 286, 304, 418
1. What is the LCM of 914, 286, 304, 418?
Answer: LCM of 914, 286, 304, 418 is 19866704.
2. How to calculate the LCM of 914, 286, 304, 418?
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, 286, 304, 418.
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}.