LCM of 779, 123, 470, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 123, 470, 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 779, 123, 470, 589. So, keep reading to learn more.
Given numbers are 779,123,470,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,123,470,589 is 34050090.
Find LCM of 779,123,470,589 with Prime Factorization
| 19 | 779, 123, 470, 589 |
| 41 | 41, 123, 470, 31 |
| 1, 3, 470, 31 |
Multiply the prime numbers at the bottom and the left side.
19 x 41 x 1 x 3 x 470 x 31 = 34050090
Therefore, the lowest common multiple of 779,123,470,589 is 34050090.
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.
779 x 123 x 470 x 589 = 26525020110
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.
779 : 1, 19, 41, 779
123 : 1, 3, 41, 123
470 : 1, 2, 5, 10, 47, 94, 235, 470
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,123,470,589, is 1.
Now, the common factors can be found like this.
779:19x 41
123:3x 41
470:2x 5x 47
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.
19x 41 = 779
Therefore, the value for common factors is 779.
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 = 26525020110/(1x779)
LCM = 26525020110/779
LCM = 34050090
Thus, we can understand that the LCM of 779,123,470,589 is 34050090.
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FAQs on LCM of 779, 123, 470, 589
1. What is the LCM of 779, 123, 470, 589?
Answer: LCM of 779, 123, 470, 589 is 34050090.
2. How to calculate the LCM of 779, 123, 470, 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 779, 123, 470, 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}.