LCM of 520, 753, 559, 526
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 753, 559, 526 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, 753, 559, 526. So, keep reading to learn more.
Given numbers are 520,753,559,526
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,753,559,526 is 4428152040.
Find LCM of 520,753,559,526 with Prime Factorization
| 2 | 520, 753, 559, 526 |
| 13 | 260, 753, 559, 263 |
| 20, 753, 43, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 20 x 753 x 43 x 263 = 4428152040
Therefore, the lowest common multiple of 520,753,559,526 is 4428152040.
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 753 x 559 x 526 = 115131953040
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
753 : 1, 3, 251, 753
559 : 1, 13, 43, 559
526 : 1, 2, 263, 526
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,753,559,526, is 1.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
753:3x 251
559:13x 43
526:2x 263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 115131953040/(1x26)
LCM = 115131953040/26
LCM = 4428152040
Thus, we can understand that the LCM of 520,753,559,526 is 4428152040.
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FAQs on LCM of 520, 753, 559, 526
1. What is the LCM of 520, 753, 559, 526?
Answer: LCM of 520, 753, 559, 526 is 4428152040.
2. How to calculate the LCM of 520, 753, 559, 526?
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, 753, 559, 526.
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}.