LCM of 569, 340, 685, 728, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 569, 340, 685, 728, 548 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 569, 340, 685, 728, 548. So, keep reading to learn more.
Given numbers are 569,340,685,728,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,340,685,728,548 is 4823731640.
Find LCM of 569,340,685,728,548 with Prime Factorization
| 2 | 569, 340, 685, 728, 548 |
| 2 | 569, 170, 685, 364, 274 |
| 5 | 569, 85, 685, 182, 137 |
| 137 | 569, 17, 137, 182, 137 |
| 569, 17, 1, 182, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 137 x 569 x 17 x 1 x 182 x 1 = 4823731640
Therefore, the lowest common multiple of 569,340,685,728,548 is 4823731640.
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.
569 x 340 x 685 x 728 x 548 = 52868098774400
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.
569 : 1, 569
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
685 : 1, 5, 137, 685
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,340,685,728,548, is 1.
Now, the common factors can be found like this.
569:569
340:2x 2x 5x 17
685:5x 137
728:2x 2x 2x 7x 13
548:2x 2x 137
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 5x 137 = 10960
Therefore, the value for common factors is 10960.
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 = 52868098774400/(1x10960)
LCM = 52868098774400/10960
LCM = 4823731640
Thus, we can understand that the LCM of 569,340,685,728,548 is 4823731640.
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FAQs on LCM of 569, 340, 685, 728, 548
1. What is the LCM of 569, 340, 685, 728, 548?
Answer: LCM of 569, 340, 685, 728, 548 is 4823731640.
2. How to calculate the LCM of 569, 340, 685, 728, 548?
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 569, 340, 685, 728, 548.
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}.