LCM of 605, 363, 980, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 363, 980, 325 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 605, 363, 980, 325. So, keep reading to learn more.
Given numbers are 605,363,980,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,363,980,325 is 23123100.
Find LCM of 605,363,980,325 with Prime Factorization
| 5 | 605, 363, 980, 325 |
| 11 | 121, 363, 196, 65 |
| 11 | 11, 33, 196, 65 |
| 1, 3, 196, 65 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 11 x 1 x 3 x 196 x 65 = 23123100
Therefore, the lowest common multiple of 605,363,980,325 is 23123100.
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.
605 x 363 x 980 x 325 = 69947377500
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.
605 : 1, 5, 11, 55, 121, 605
363 : 1, 3, 11, 33, 121, 363
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,363,980,325, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
363:3x 11x 11
980:2x 2x 5x 7x 7
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 11x 11 = 3025
Therefore, the value for common factors is 3025.
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 = 69947377500/(1x3025)
LCM = 69947377500/3025
LCM = 23123100
Thus, we can understand that the LCM of 605,363,980,325 is 23123100.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 605, 363, 980, 325
1. What is the LCM of 605, 363, 980, 325?
Answer: LCM of 605, 363, 980, 325 is 23123100.
2. How to calculate the LCM of 605, 363, 980, 325?
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 605, 363, 980, 325.
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}.