LCM of 598, 728, 169, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 728, 169, 385 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 598, 728, 169, 385. So, keep reading to learn more.
Given numbers are 598,728,169,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,728,169,385 is 11971960.
Find LCM of 598,728,169,385 with Prime Factorization
| 2 | 598, 728, 169, 385 |
| 7 | 299, 364, 169, 385 |
| 13 | 299, 52, 169, 55 |
| 23, 4, 13, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 23 x 4 x 13 x 55 = 11971960
Therefore, the lowest common multiple of 598,728,169,385 is 11971960.
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.
598 x 728 x 169 x 385 = 28325657360
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
169 : 1, 13, 169
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,728,169,385, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
728:2x 2x 2x 7x 13
169:13x 13
385:5x 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 7x 13x 13 = 2366
Therefore, the value for common factors is 2366.
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 = 28325657360/(1x2366)
LCM = 28325657360/2366
LCM = 11971960
Thus, we can understand that the LCM of 598,728,169,385 is 11971960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 598, 728, 169, 385
1. What is the LCM of 598, 728, 169, 385?
Answer: LCM of 598, 728, 169, 385 is 11971960.
2. How to calculate the LCM of 598, 728, 169, 385?
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 598, 728, 169, 385.
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}.