LCM of 523, 717, 676, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 717, 676, 960 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 523, 717, 676, 960. So, keep reading to learn more.
Given numbers are 523,717,676,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,717,676,960 is 20279513280.
Find LCM of 523,717,676,960 with Prime Factorization
| 2 | 523, 717, 676, 960 |
| 2 | 523, 717, 338, 480 |
| 3 | 523, 717, 169, 240 |
| 523, 239, 169, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 523 x 239 x 169 x 80 = 20279513280
Therefore, the lowest common multiple of 523,717,676,960 is 20279513280.
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.
523 x 717 x 676 x 960 = 243354159360
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.
523 : 1, 523
717 : 1, 3, 239, 717
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,717,676,960, is 1.
Now, the common factors can be found like this.
523:523
717:3x 239
676:2x 2x 13x 13
960:2x 2x 2x 2x 2x 2x 3x 5
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 3 = 12
Therefore, the value for common factors is 12.
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 = 243354159360/(1x12)
LCM = 243354159360/12
LCM = 20279513280
Thus, we can understand that the LCM of 523,717,676,960 is 20279513280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 717, 676, 960
1. What is the LCM of 523, 717, 676, 960?
Answer: LCM of 523, 717, 676, 960 is 20279513280.
2. How to calculate the LCM of 523, 717, 676, 960?
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 523, 717, 676, 960.
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}.