LCM of 650, 655, 317, 872, 436
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 655, 317, 872, 436 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 650, 655, 317, 872, 436. So, keep reading to learn more.
Given numbers are 650,655,317,872,436
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,655,317,872,436 is 11768751800.
Find LCM of 650,655,317,872,436 with Prime Factorization
| 2 | 650, 655, 317, 872, 436 |
| 2 | 325, 655, 317, 436, 218 |
| 5 | 325, 655, 317, 109, 218 |
| 109 | 65, 131, 317, 109, 218 |
| 65, 131, 317, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 109 x 65 x 131 x 317 x 1 x 2 = 11768751800
Therefore, the lowest common multiple of 650,655,317,872,436 is 11768751800.
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.
650 x 655 x 317 x 872 x 436 = 51311757848000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
655 : 1, 5, 131, 655
317 : 1, 317
872 : 1, 2, 4, 8, 109, 218, 436, 872
436 : 1, 2, 4, 109, 218, 436
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,655,317,872,436, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
655:5x 131
317:317
872:2x 2x 2x 109
436:2x 2x 109
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 5x 109 = 4360
Therefore, the value for common factors is 4360.
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 = 51311757848000/(1x4360)
LCM = 51311757848000/4360
LCM = 11768751800
Thus, we can understand that the LCM of 650,655,317,872,436 is 11768751800.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 650, 655, 317, 872, 436
1. What is the LCM of 650, 655, 317, 872, 436?
Answer: LCM of 650, 655, 317, 872, 436 is 11768751800.
2. How to calculate the LCM of 650, 655, 317, 872, 436?
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 650, 655, 317, 872, 436.
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}.