LCM of 814, 164, 869, 649, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 164, 869, 649, 945 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, 164, 869, 649, 945. So, keep reading to learn more.
Given numbers are 814,164,869,649,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,164,869,649,945 is 294001244460.
Find LCM of 814,164,869,649,945 with Prime Factorization
| 2 | 814, 164, 869, 649, 945 |
| 11 | 407, 82, 869, 649, 945 |
| 37, 82, 79, 59, 945 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 82 x 79 x 59 x 945 = 294001244460
Therefore, the lowest common multiple of 814,164,869,649,945 is 294001244460.
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 164 x 869 x 649 x 945 = 71148301159320
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
164 : 1, 2, 4, 41, 82, 164
869 : 1, 11, 79, 869
649 : 1, 11, 59, 649
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,164,869,649,945, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
164:2x 2x 41
869:11x 79
649:11x 59
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 71148301159320/(1x242)
LCM = 71148301159320/242
LCM = 294001244460
Thus, we can understand that the LCM of 814,164,869,649,945 is 294001244460.
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FAQs on LCM of 814, 164, 869, 649, 945
1. What is the LCM of 814, 164, 869, 649, 945?
Answer: LCM of 814, 164, 869, 649, 945 is 294001244460.
2. How to calculate the LCM of 814, 164, 869, 649, 945?
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, 164, 869, 649, 945.
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}.