LCM of 596, 632, 322, 424, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 632, 322, 424, 161 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 596, 632, 322, 424, 161. So, keep reading to learn more.
Given numbers are 596,632,322,424,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,632,322,424,161 is 803535544.
Find LCM of 596,632,322,424,161 with Prime Factorization
| 2 | 596, 632, 322, 424, 161 |
| 2 | 298, 316, 161, 212, 161 |
| 2 | 149, 158, 161, 106, 161 |
| 7 | 149, 79, 161, 53, 161 |
| 23 | 149, 79, 23, 53, 23 |
| 149, 79, 1, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 23 x 149 x 79 x 1 x 53 x 1 = 803535544
Therefore, the lowest common multiple of 596,632,322,424,161 is 803535544.
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.
596 x 632 x 322 x 424 x 161 = 8279630245376
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.
596 : 1, 2, 4, 149, 298, 596
632 : 1, 2, 4, 8, 79, 158, 316, 632
322 : 1, 2, 7, 14, 23, 46, 161, 322
424 : 1, 2, 4, 8, 53, 106, 212, 424
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,632,322,424,161, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
632:2x 2x 2x 79
322:2x 7x 23
424:2x 2x 2x 53
161:7x 23
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 7x 23 = 10304
Therefore, the value for common factors is 10304.
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 = 8279630245376/(1x10304)
LCM = 8279630245376/10304
LCM = 803535544
Thus, we can understand that the LCM of 596,632,322,424,161 is 803535544.
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FAQs on LCM of 596, 632, 322, 424, 161
1. What is the LCM of 596, 632, 322, 424, 161?
Answer: LCM of 596, 632, 322, 424, 161 is 803535544.
2. How to calculate the LCM of 596, 632, 322, 424, 161?
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 596, 632, 322, 424, 161.
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}.