LCM of 775, 772, 239, 962, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 775, 772, 239, 962, 589 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 775, 772, 239, 962, 589. So, keep reading to learn more.
Given numbers are 775,772,239,962,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,772,239,962,589 is 1306819424300.
Find LCM of 775,772,239,962,589 with Prime Factorization
| 2 | 775, 772, 239, 962, 589 |
| 31 | 775, 386, 239, 481, 589 |
| 25, 386, 239, 481, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 25 x 386 x 239 x 481 x 19 = 1306819424300
Therefore, the lowest common multiple of 775,772,239,962,589 is 1306819424300.
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.
775 x 772 x 239 x 962 x 589 = 81022804306600
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.
775 : 1, 5, 25, 31, 155, 775
772 : 1, 2, 4, 193, 386, 772
239 : 1, 239
962 : 1, 2, 13, 26, 37, 74, 481, 962
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,772,239,962,589, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
772:2x 2x 193
239:239
962:2x 13x 37
589:19x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 31 = 62
Therefore, the value for common factors is 62.
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 = 81022804306600/(1x62)
LCM = 81022804306600/62
LCM = 1306819424300
Thus, we can understand that the LCM of 775,772,239,962,589 is 1306819424300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 775, 772, 239, 962, 589
1. What is the LCM of 775, 772, 239, 962, 589?
Answer: LCM of 775, 772, 239, 962, 589 is 1306819424300.
2. How to calculate the LCM of 775, 772, 239, 962, 589?
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 775, 772, 239, 962, 589.
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}.