LCM of 733, 725, 815, 860, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 725, 815, 860, 588 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 733, 725, 815, 860, 588. So, keep reading to learn more.
Given numbers are 733,725,815,860,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,725,815,860,588 is 2190157601100.
Find LCM of 733,725,815,860,588 with Prime Factorization
| 2 | 733, 725, 815, 860, 588 |
| 2 | 733, 725, 815, 430, 294 |
| 5 | 733, 725, 815, 215, 147 |
| 733, 145, 163, 43, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 733 x 145 x 163 x 43 x 147 = 2190157601100
Therefore, the lowest common multiple of 733,725,815,860,588 is 2190157601100.
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.
733 x 725 x 815 x 860 x 588 = 219015760110000
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.
733 : 1, 733
725 : 1, 5, 25, 29, 145, 725
815 : 1, 5, 163, 815
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,725,815,860,588, is 1.
Now, the common factors can be found like this.
733:733
725:5x 5x 29
815:5x 163
860:2x 2x 5x 43
588:2x 2x 3x 7x 7
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 219015760110000/(1x100)
LCM = 219015760110000/100
LCM = 2190157601100
Thus, we can understand that the LCM of 733,725,815,860,588 is 2190157601100.
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FAQs on LCM of 733, 725, 815, 860, 588
1. What is the LCM of 733, 725, 815, 860, 588?
Answer: LCM of 733, 725, 815, 860, 588 is 2190157601100.
2. How to calculate the LCM of 733, 725, 815, 860, 588?
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 733, 725, 815, 860, 588.
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}.