Find the LCM of 159, 495, 323, 319, 703 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 159, 495, 323, 319, 703. So, keep reading to learn more.
Given numbers are 159,495,323,319,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 159,495,323,319,703 is 9092500065.
Find LCM of 159,495,323,319,703 with Prime Factorization
3 | 159, 495, 323, 319, 703 |
11 | 53, 165, 323, 319, 703 |
19 | 53, 15, 323, 29, 703 |
53, 15, 17, 29, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 53 x 15 x 17 x 29 x 37 = 9092500065
Therefore, the lowest common multiple of 159,495,323,319,703 is 9092500065.
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.
159 x 495 x 323 x 319 x 703 = 5700997540755
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.
159 : 1, 3, 53, 159
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
323 : 1, 17, 19, 323
319 : 1, 11, 29, 319
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,495,323,319,703, is 1.
Now, the common factors can be found like this.
159:3x 53
495:3x 3x 5x 11
323:17x 19
319:11x 29
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 19 = 627
Therefore, the value for common factors is 627.
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 = 5700997540755/(1x627)
LCM = 5700997540755/627
LCM = 9092500065
Thus, we can understand that the LCM of 159,495,323,319,703 is 9092500065.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 159, 495, 323, 319, 703?
Answer: LCM of 159, 495, 323, 319, 703 is 9092500065.
2. How to calculate the LCM of 159, 495, 323, 319, 703?
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 159, 495, 323, 319, 703.
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}.