Find the LCM of 735, 141, 317, 317, 687 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 735, 141, 317, 317, 687. So, keep reading to learn more.
Given numbers are 735,141,317,317,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,141,317,317,687 is 2507725185.
Find LCM of 735,141,317,317,687 with Prime Factorization
3 | 735, 141, 317, 317, 687 |
317 | 245, 47, 317, 317, 229 |
245, 47, 1, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
3 x 317 x 245 x 47 x 1 x 1 x 229 = 2507725185
Therefore, the lowest common multiple of 735,141,317,317,687 is 2507725185.
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.
735 x 141 x 317 x 317 x 687 = 7154539952805
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
141 : 1, 3, 47, 141
317 : 1, 317
317 : 1, 317
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,141,317,317,687, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
141:3x 47
317:317
317:317
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 317 = 2853
Therefore, the value for common factors is 2853.
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 = 7154539952805/(1x2853)
LCM = 7154539952805/2853
LCM = 2507725185
Thus, we can understand that the LCM of 735,141,317,317,687 is 2507725185.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 141, 317, 317, 687?
Answer: LCM of 735, 141, 317, 317, 687 is 2507725185.
2. How to calculate the LCM of 735, 141, 317, 317, 687?
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 735, 141, 317, 317, 687.
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}.