LCM of 962, 589, 548, 403, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 589, 548, 403, 620 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 962, 589, 548, 403, 620. So, keep reading to learn more.
Given numbers are 962,589,548,403,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,589,548,403,620 is 776266660.
Find LCM of 962,589,548,403,620 with Prime Factorization
| 2 | 962, 589, 548, 403, 620 |
| 2 | 481, 589, 274, 403, 310 |
| 13 | 481, 589, 137, 403, 155 |
| 31 | 37, 589, 137, 31, 155 |
| 37, 19, 137, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 31 x 37 x 19 x 137 x 1 x 5 = 776266660
Therefore, the lowest common multiple of 962,589,548,403,620 is 776266660.
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.
962 x 589 x 548 x 403 x 620 = 77583195067040
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
589 : 1, 19, 31, 589
548 : 1, 2, 4, 137, 274, 548
403 : 1, 13, 31, 403
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,589,548,403,620, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
589:19x 31
548:2x 2x 137
403:13x 31
620:2x 2x 5x 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 2x 2x 13x 31x 31 = 99944
Therefore, the value for common factors is 99944.
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 = 77583195067040/(1x99944)
LCM = 77583195067040/99944
LCM = 776266660
Thus, we can understand that the LCM of 962,589,548,403,620 is 776266660.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 962, 589, 548, 403, 620
1. What is the LCM of 962, 589, 548, 403, 620?
Answer: LCM of 962, 589, 548, 403, 620 is 776266660.
2. How to calculate the LCM of 962, 589, 548, 403, 620?
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 962, 589, 548, 403, 620.
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}.