LCM of 521, 310, 589, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 521, 310, 589, 703 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 521, 310, 589, 703. So, keep reading to learn more.
Given numbers are 521,310,589,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,310,589,703 is 113541530.
Find LCM of 521,310,589,703 with Prime Factorization
| 19 | 521, 310, 589, 703 |
| 31 | 521, 310, 31, 37 |
| 521, 10, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
19 x 31 x 521 x 10 x 1 x 37 = 113541530
Therefore, the lowest common multiple of 521,310,589,703 is 113541530.
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.
521 x 310 x 589 x 703 = 66875961170
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.
521 : 1, 521
310 : 1, 2, 5, 10, 31, 62, 155, 310
589 : 1, 19, 31, 589
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,310,589,703, is 1.
Now, the common factors can be found like this.
521:521
310:2x 5x 31
589:19x 31
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 31 = 589
Therefore, the value for common factors is 589.
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 = 66875961170/(1x589)
LCM = 66875961170/589
LCM = 113541530
Thus, we can understand that the LCM of 521,310,589,703 is 113541530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 521, 310, 589, 703
1. What is the LCM of 521, 310, 589, 703?
Answer: LCM of 521, 310, 589, 703 is 113541530.
2. How to calculate the LCM of 521, 310, 589, 703?
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 521, 310, 589, 703.
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}.