LCM of 520, 770, 723, 909, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 770, 723, 909, 539 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 520, 770, 723, 909, 539. So, keep reading to learn more.
Given numbers are 520,770,723,909,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,770,723,909,539 is 61400659320.
Find LCM of 520,770,723,909,539 with Prime Factorization
| 2 | 520, 770, 723, 909, 539 |
| 3 | 260, 385, 723, 909, 539 |
| 5 | 260, 385, 241, 303, 539 |
| 7 | 52, 77, 241, 303, 539 |
| 11 | 52, 11, 241, 303, 77 |
| 52, 1, 241, 303, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 52 x 1 x 241 x 303 x 7 = 61400659320
Therefore, the lowest common multiple of 520,770,723,909,539 is 61400659320.
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.
520 x 770 x 723 x 909 x 539 = 141835523029200
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
723 : 1, 3, 241, 723
909 : 1, 3, 9, 101, 303, 909
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,770,723,909,539, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
770:2x 5x 7x 11
723:3x 241
909:3x 3x 101
539:7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 11 = 2310
Therefore, the value for common factors is 2310.
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 = 141835523029200/(1x2310)
LCM = 141835523029200/2310
LCM = 61400659320
Thus, we can understand that the LCM of 520,770,723,909,539 is 61400659320.
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FAQs on LCM of 520, 770, 723, 909, 539
1. What is the LCM of 520, 770, 723, 909, 539?
Answer: LCM of 520, 770, 723, 909, 539 is 61400659320.
2. How to calculate the LCM of 520, 770, 723, 909, 539?
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 520, 770, 723, 909, 539.
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}.