Find the LCM of 513, 195, 983, 702 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 513, 195, 983, 702. So, keep reading to learn more.
Given numbers are 513,195,983,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,195,983,702 is 65556270.
Find LCM of 513,195,983,702 with Prime Factorization
3 | 513, 195, 983, 702 |
3 | 171, 65, 983, 234 |
3 | 57, 65, 983, 78 |
13 | 19, 65, 983, 26 |
19, 5, 983, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 13 x 19 x 5 x 983 x 2 = 65556270
Therefore, the lowest common multiple of 513,195,983,702 is 65556270.
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.
513 x 195 x 983 x 702 = 69030752310
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
195 : 1, 3, 5, 13, 15, 39, 65, 195
983 : 1, 983
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,195,983,702, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
195:3x 5x 13
983:983
702:2x 3x 3x 3x 13
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 3x 3x 13 = 1053
Therefore, the value for common factors is 1053.
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 = 69030752310/(1x1053)
LCM = 69030752310/1053
LCM = 65556270
Thus, we can understand that the LCM of 513,195,983,702 is 65556270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 195, 983, 702?
Answer: LCM of 513, 195, 983, 702 is 65556270.
2. How to calculate the LCM of 513, 195, 983, 702?
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 513, 195, 983, 702.
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}.