LCM of 824, 505, 435, 986, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 505, 435, 986, 605 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 824, 505, 435, 986, 605. So, keep reading to learn more.
Given numbers are 824,505,435,986,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,505,435,986,605 is 74468419080.
Find LCM of 824,505,435,986,605 with Prime Factorization
| 2 | 824, 505, 435, 986, 605 |
| 5 | 412, 505, 435, 493, 605 |
| 29 | 412, 101, 87, 493, 121 |
| 412, 101, 3, 17, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 29 x 412 x 101 x 3 x 17 x 121 = 74468419080
Therefore, the lowest common multiple of 824,505,435,986,605 is 74468419080.
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.
824 x 505 x 435 x 986 x 605 = 107979207666000
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
505 : 1, 5, 101, 505
435 : 1, 3, 5, 15, 29, 87, 145, 435
986 : 1, 2, 17, 29, 34, 58, 493, 986
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,505,435,986,605, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
505:5x 101
435:3x 5x 29
986:2x 17x 29
605:5x 11x 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 5x 5x 29 = 1450
Therefore, the value for common factors is 1450.
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 = 107979207666000/(1x1450)
LCM = 107979207666000/1450
LCM = 74468419080
Thus, we can understand that the LCM of 824,505,435,986,605 is 74468419080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 505, 435, 986, 605
1. What is the LCM of 824, 505, 435, 986, 605?
Answer: LCM of 824, 505, 435, 986, 605 is 74468419080.
2. How to calculate the LCM of 824, 505, 435, 986, 605?
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 824, 505, 435, 986, 605.
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}.