LCM of 359, 428, 321, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 428, 321, 362 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 359, 428, 321, 362. So, keep reading to learn more.
Given numbers are 359,428,321,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,428,321,362 is 83433036.
Find LCM of 359,428,321,362 with Prime Factorization
| 2 | 359, 428, 321, 362 |
| 107 | 359, 214, 321, 181 |
| 359, 2, 3, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 359 x 2 x 3 x 181 = 83433036
Therefore, the lowest common multiple of 359,428,321,362 is 83433036.
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.
359 x 428 x 321 x 362 = 17854669704
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.
359 : 1, 359
428 : 1, 2, 4, 107, 214, 428
321 : 1, 3, 107, 321
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,428,321,362, is 1.
Now, the common factors can be found like this.
359:359
428:2x 2x 107
321:3x 107
362:2x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 107 = 214
Therefore, the value for common factors is 214.
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 = 17854669704/(1x214)
LCM = 17854669704/214
LCM = 83433036
Thus, we can understand that the LCM of 359,428,321,362 is 83433036.
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FAQs on LCM of 359, 428, 321, 362
1. What is the LCM of 359, 428, 321, 362?
Answer: LCM of 359, 428, 321, 362 is 83433036.
2. How to calculate the LCM of 359, 428, 321, 362?
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 359, 428, 321, 362.
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}.