LCM of 590, 860, 588, 826, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 590, 860, 588, 826, 734 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 590, 860, 588, 826, 734. So, keep reading to learn more.
Given numbers are 590,860,588,826,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,860,588,826,734 is 2737372260.
Find LCM of 590,860,588,826,734 with Prime Factorization
| 2 | 590, 860, 588, 826, 734 |
| 2 | 295, 430, 294, 413, 367 |
| 5 | 295, 215, 147, 413, 367 |
| 7 | 59, 43, 147, 413, 367 |
| 59 | 59, 43, 21, 59, 367 |
| 1, 43, 21, 1, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 59 x 1 x 43 x 21 x 1 x 367 = 2737372260
Therefore, the lowest common multiple of 590,860,588,826,734 is 2737372260.
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.
590 x 860 x 588 x 826 x 734 = 180885558940800
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
826 : 1, 2, 7, 14, 59, 118, 413, 826
734 : 1, 2, 367, 734
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,860,588,826,734, is 2.
Now, the common factors can be found like this.
590:2x 5x 59
860:2x 2x 5x 43
588:2x 2x 3x 7x 7
826:2x 7x 59
734:2x 367
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 5x 7x 59 = 33040
Therefore, the value for common factors is 33040.
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 = 180885558940800/(2x33040)
LCM = 180885558940800/66080
LCM = 2737372260
Thus, we can understand that the LCM of 590,860,588,826,734 is 2737372260.
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FAQs on LCM of 590, 860, 588, 826, 734
1. What is the LCM of 590, 860, 588, 826, 734?
Answer: LCM of 590, 860, 588, 826, 734 is 2737372260.
2. How to calculate the LCM of 590, 860, 588, 826, 734?
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 590, 860, 588, 826, 734.
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}.