LCM of 272, 322, 112, 458, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 322, 112, 458, 616 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, 322, 112, 458, 616. So, keep reading to learn more.
Given numbers are 272,322,112,458,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,322,112,458,616 is 110312048.
Find LCM of 272,322,112,458,616 with Prime Factorization
| 2 | 272, 322, 112, 458, 616 |
| 2 | 136, 161, 56, 229, 308 |
| 2 | 68, 161, 28, 229, 154 |
| 2 | 34, 161, 14, 229, 77 |
| 7 | 17, 161, 7, 229, 77 |
| 17, 23, 1, 229, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 17 x 23 x 1 x 229 x 11 = 110312048
Therefore, the lowest common multiple of 272,322,112,458,616 is 110312048.
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 322 x 112 x 458 x 616 = 2767508660224
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
322 : 1, 2, 7, 14, 23, 46, 161, 322
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
458 : 1, 2, 229, 458
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,322,112,458,616, is 2.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
322:2x 7x 23
112:2x 2x 2x 2x 7
458:2x 229
616:2x 2x 2x 7x 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 2x 2x 2x 2x 2x 7x 7 = 12544
Therefore, the value for common factors is 12544.
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 = 2767508660224/(2x12544)
LCM = 2767508660224/25088
LCM = 110312048
Thus, we can understand that the LCM of 272,322,112,458,616 is 110312048.
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FAQs on LCM of 272, 322, 112, 458, 616
1. What is the LCM of 272, 322, 112, 458, 616?
Answer: LCM of 272, 322, 112, 458, 616 is 110312048.
2. How to calculate the LCM of 272, 322, 112, 458, 616?
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, 322, 112, 458, 616.
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}.