LCM of 272, 138, 858, 830, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 138, 858, 830, 814 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 272, 138, 858, 830, 814. So, keep reading to learn more.
Given numbers are 272,138,858,830,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,138,858,830,814 is 41210117520.
Find LCM of 272,138,858,830,814 with Prime Factorization
| 2 | 272, 138, 858, 830, 814 |
| 3 | 136, 69, 429, 415, 407 |
| 11 | 136, 23, 143, 415, 407 |
| 136, 23, 13, 415, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 136 x 23 x 13 x 415 x 37 = 41210117520
Therefore, the lowest common multiple of 272,138,858,830,814 is 41210117520.
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.
272 x 138 x 858 x 830 x 814 = 21758942050560
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
138 : 1, 2, 3, 6, 23, 46, 69, 138
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
830 : 1, 2, 5, 10, 83, 166, 415, 830
814 : 1, 2, 11, 22, 37, 74, 407, 814
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,138,858,830,814, is 2.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
138:2x 3x 23
858:2x 3x 11x 13
830:2x 5x 83
814:2x 11x 37
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 = 21758942050560/(2x264)
LCM = 21758942050560/528
LCM = 41210117520
Thus, we can understand that the LCM of 272,138,858,830,814 is 41210117520.
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FAQs on LCM of 272, 138, 858, 830, 814
1. What is the LCM of 272, 138, 858, 830, 814?
Answer: LCM of 272, 138, 858, 830, 814 is 41210117520.
2. How to calculate the LCM of 272, 138, 858, 830, 814?
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 272, 138, 858, 830, 814.
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}.