LCM of 272, 204, 322, 592, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 204, 322, 592, 840 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, 204, 322, 592, 840. So, keep reading to learn more.
Given numbers are 272,204,322,592,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,204,322,592,840 is 24304560.
Find LCM of 272,204,322,592,840 with Prime Factorization
| 2 | 272, 204, 322, 592, 840 |
| 2 | 136, 102, 161, 296, 420 |
| 2 | 68, 51, 161, 148, 210 |
| 2 | 34, 51, 161, 74, 105 |
| 3 | 17, 51, 161, 37, 105 |
| 7 | 17, 17, 161, 37, 35 |
| 17 | 17, 17, 23, 37, 5 |
| 1, 1, 23, 37, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 17 x 1 x 1 x 23 x 37 x 5 = 24304560
Therefore, the lowest common multiple of 272,204,322,592,840 is 24304560.
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 204 x 322 x 592 x 840 = 8884969390080
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
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
322 : 1, 2, 7, 14, 23, 46, 161, 322
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,204,322,592,840, is 2.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
204:2x 2x 3x 17
322:2x 7x 23
592:2x 2x 2x 2x 37
840:2x 2x 2x 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 2x 2x 2x 2x 2x 2x 2x 2x 3x 7x 17 = 182784
Therefore, the value for common factors is 182784.
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 = 8884969390080/(2x182784)
LCM = 8884969390080/365568
LCM = 24304560
Thus, we can understand that the LCM of 272,204,322,592,840 is 24304560.
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FAQs on LCM of 272, 204, 322, 592, 840
1. What is the LCM of 272, 204, 322, 592, 840?
Answer: LCM of 272, 204, 322, 592, 840 is 24304560.
2. How to calculate the LCM of 272, 204, 322, 592, 840?
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, 204, 322, 592, 840.
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}.