LCM of 505, 611, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 611, 710 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 505, 611, 710. So, keep reading to learn more.
Given numbers are 505,611,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,611,710 is 43814810.
Find LCM of 505,611,710 with Prime Factorization
| 5 | 505, 611, 710 |
| 101, 611, 142 |
Multiply the prime numbers at the bottom and the left side.
5 x 101 x 611 x 142 = 43814810
Therefore, the lowest common multiple of 505,611,710 is 43814810.
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.
505 x 611 x 710 = 219074050
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.
505 : 1, 5, 101, 505
611 : 1, 13, 47, 611
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,611,710, is 1.
Now, the common factors can be found like this.
505:5x 101
611:13x 47
710:2x 5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 219074050/(1x5)
LCM = 219074050/5
LCM = 43814810
Thus, we can understand that the LCM of 505,611,710 is 43814810.
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FAQs on LCM of 505, 611, 710
1. What is the LCM of 505, 611, 710?
Answer: LCM of 505, 611, 710 is 43814810.
2. How to calculate the LCM of 505, 611, 710?
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 505, 611, 710.
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}.