LCM of 817, 304, 272, 272, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 817, 304, 272, 272, 946 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 817, 304, 272, 272, 946. So, keep reading to learn more.
Given numbers are 817,304,272,272,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,304,272,272,946 is 2444464.
Find LCM of 817,304,272,272,946 with Prime Factorization
| 2 | 817, 304, 272, 272, 946 |
| 2 | 817, 152, 136, 136, 473 |
| 2 | 817, 76, 68, 68, 473 |
| 2 | 817, 38, 34, 34, 473 |
| 17 | 817, 19, 17, 17, 473 |
| 19 | 817, 19, 1, 1, 473 |
| 43 | 43, 1, 1, 1, 473 |
| 1, 1, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 19 x 43 x 1 x 1 x 1 x 1 x 11 = 2444464
Therefore, the lowest common multiple of 817,304,272,272,946 is 2444464.
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.
817 x 304 x 272 x 272 x 946 = 17382994173952
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.
817 : 1, 19, 43, 817
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,304,272,272,946, is 1.
Now, the common factors can be found like this.
817:19x 43
304:2x 2x 2x 2x 19
272:2x 2x 2x 2x 17
272:2x 2x 2x 2x 17
946:2x 11x 43
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 2x 2x 2x 2x 2x 2x 17x 19x 43 = 7111168
Therefore, the value for common factors is 7111168.
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 = 17382994173952/(1x7111168)
LCM = 17382994173952/7111168
LCM = 2444464
Thus, we can understand that the LCM of 817,304,272,272,946 is 2444464.
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FAQs on LCM of 817, 304, 272, 272, 946
1. What is the LCM of 817, 304, 272, 272, 946?
Answer: LCM of 817, 304, 272, 272, 946 is 2444464.
2. How to calculate the LCM of 817, 304, 272, 272, 946?
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 817, 304, 272, 272, 946.
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}.