LCM of 814, 398, 707, 945, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 398, 707, 945, 867 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 814, 398, 707, 945, 867. So, keep reading to learn more.
Given numbers are 814,398,707,945,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,398,707,945,867 is 4468157839530.
Find LCM of 814,398,707,945,867 with Prime Factorization
| 2 | 814, 398, 707, 945, 867 |
| 3 | 407, 199, 707, 945, 867 |
| 7 | 407, 199, 707, 315, 289 |
| 407, 199, 101, 45, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 407 x 199 x 101 x 45 x 289 = 4468157839530
Therefore, the lowest common multiple of 814,398,707,945,867 is 4468157839530.
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.
814 x 398 x 707 x 945 x 867 = 187662629260260
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
398 : 1, 2, 199, 398
707 : 1, 7, 101, 707
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,398,707,945,867, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
398:2x 199
707:7x 101
945:3x 3x 3x 5x 7
867:3x 17x 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 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 187662629260260/(1x42)
LCM = 187662629260260/42
LCM = 4468157839530
Thus, we can understand that the LCM of 814,398,707,945,867 is 4468157839530.
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FAQs on LCM of 814, 398, 707, 945, 867
1. What is the LCM of 814, 398, 707, 945, 867?
Answer: LCM of 814, 398, 707, 945, 867 is 4468157839530.
2. How to calculate the LCM of 814, 398, 707, 945, 867?
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 814, 398, 707, 945, 867.
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}.