LCM of 844, 661, 814, 918, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 661, 814, 918, 330 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 844, 661, 814, 918, 330. So, keep reading to learn more.
Given numbers are 844,661,814,918,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,661,814,918,330 is 521099918460.
Find LCM of 844,661,814,918,330 with Prime Factorization
| 2 | 844, 661, 814, 918, 330 |
| 3 | 422, 661, 407, 459, 165 |
| 11 | 422, 661, 407, 153, 55 |
| 422, 661, 37, 153, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 422 x 661 x 37 x 153 x 5 = 521099918460
Therefore, the lowest common multiple of 844,661,814,918,330 is 521099918460.
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.
844 x 661 x 814 x 918 x 330 = 137570378473440
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.
844 : 1, 2, 4, 211, 422, 844
661 : 1, 661
814 : 1, 2, 11, 22, 37, 74, 407, 814
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,661,814,918,330, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
661:661
814:2x 11x 37
918:2x 3x 3x 3x 17
330:2x 3x 5x 11
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 3x 11 = 264
Therefore, the value for common factors is 264.
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 = 137570378473440/(1x264)
LCM = 137570378473440/264
LCM = 521099918460
Thus, we can understand that the LCM of 844,661,814,918,330 is 521099918460.
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FAQs on LCM of 844, 661, 814, 918, 330
1. What is the LCM of 844, 661, 814, 918, 330?
Answer: LCM of 844, 661, 814, 918, 330 is 521099918460.
2. How to calculate the LCM of 844, 661, 814, 918, 330?
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 844, 661, 814, 918, 330.
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}.