LCM of 188, 420, 431, 591, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 188, 420, 431, 591, 342 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 188, 420, 431, 591, 342. So, keep reading to learn more.
Given numbers are 188,420,431,591,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 188,420,431,591,342 is 95535658260.
Find LCM of 188,420,431,591,342 with Prime Factorization
| 2 | 188, 420, 431, 591, 342 |
| 2 | 94, 210, 431, 591, 171 |
| 3 | 47, 105, 431, 591, 171 |
| 47, 35, 431, 197, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 35 x 431 x 197 x 57 = 95535658260
Therefore, the lowest common multiple of 188,420,431,591,342 is 95535658260.
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.
188 x 420 x 431 x 591 x 342 = 6878567394720
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.
188 : 1, 2, 4, 47, 94, 188
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
431 : 1, 431
591 : 1, 3, 197, 591
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,420,431,591,342, is 1.
Now, the common factors can be found like this.
188:2x 2x 47
420:2x 2x 3x 5x 7
431:431
591:3x 197
342:2x 3x 3x 19
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 6878567394720/(1x72)
LCM = 6878567394720/72
LCM = 95535658260
Thus, we can understand that the LCM of 188,420,431,591,342 is 95535658260.
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FAQs on LCM of 188, 420, 431, 591, 342
1. What is the LCM of 188, 420, 431, 591, 342?
Answer: LCM of 188, 420, 431, 591, 342 is 95535658260.
2. How to calculate the LCM of 188, 420, 431, 591, 342?
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 188, 420, 431, 591, 342.
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}.