LCM of 589, 678, 445, 540, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 678, 445, 540, 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 589, 678, 445, 540, 342. So, keep reading to learn more.
Given numbers are 589,678,445,540,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,678,445,540,342 is 3198729420.
Find LCM of 589,678,445,540,342 with Prime Factorization
| 2 | 589, 678, 445, 540, 342 |
| 3 | 589, 339, 445, 270, 171 |
| 3 | 589, 113, 445, 90, 57 |
| 5 | 589, 113, 445, 30, 19 |
| 19 | 589, 113, 89, 6, 19 |
| 31, 113, 89, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 19 x 31 x 113 x 89 x 6 x 1 = 3198729420
Therefore, the lowest common multiple of 589,678,445,540,342 is 3198729420.
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.
589 x 678 x 445 x 540 x 342 = 32818963849200
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.
589 : 1, 19, 31, 589
678 : 1, 2, 3, 6, 113, 226, 339, 678
445 : 1, 5, 89, 445
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
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 589,678,445,540,342, is 1.
Now, the common factors can be found like this.
589:19x 31
678:2x 3x 113
445:5x 89
540:2x 2x 3x 3x 3x 5
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 3x 3x 3x 5x 19 = 10260
Therefore, the value for common factors is 10260.
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 = 32818963849200/(1x10260)
LCM = 32818963849200/10260
LCM = 3198729420
Thus, we can understand that the LCM of 589,678,445,540,342 is 3198729420.
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FAQs on LCM of 589, 678, 445, 540, 342
1. What is the LCM of 589, 678, 445, 540, 342?
Answer: LCM of 589, 678, 445, 540, 342 is 3198729420.
2. How to calculate the LCM of 589, 678, 445, 540, 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 589, 678, 445, 540, 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}.