LCM of 711, 576, 539, 860, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 576, 539, 860, 724 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 711, 576, 539, 860, 724. So, keep reading to learn more.
Given numbers are 711,576,539,860,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,576,539,860,724 is 954454818240.
Find LCM of 711,576,539,860,724 with Prime Factorization
| 2 | 711, 576, 539, 860, 724 |
| 2 | 711, 288, 539, 430, 362 |
| 3 | 711, 144, 539, 215, 181 |
| 3 | 237, 48, 539, 215, 181 |
| 79, 16, 539, 215, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 79 x 16 x 539 x 215 x 181 = 954454818240
Therefore, the lowest common multiple of 711,576,539,860,724 is 954454818240.
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.
711 x 576 x 539 x 860 x 724 = 137441493826560
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.
711 : 1, 3, 9, 79, 237, 711
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
539 : 1, 7, 11, 49, 77, 539
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,576,539,860,724, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
576:2x 2x 2x 2x 2x 2x 3x 3
539:7x 7x 11
860:2x 2x 5x 43
724:2x 2x 181
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 137441493826560/(1x144)
LCM = 137441493826560/144
LCM = 954454818240
Thus, we can understand that the LCM of 711,576,539,860,724 is 954454818240.
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FAQs on LCM of 711, 576, 539, 860, 724
1. What is the LCM of 711, 576, 539, 860, 724?
Answer: LCM of 711, 576, 539, 860, 724 is 954454818240.
2. How to calculate the LCM of 711, 576, 539, 860, 724?
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 711, 576, 539, 860, 724.
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}.