Find the LCM of 702, 595, 217, 212, 320 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 702, 595, 217, 212, 320. So, keep reading to learn more.
Given numbers are 702,595,217,212,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,595,217,212,320 is 21960469440.
Find LCM of 702,595,217,212,320 with Prime Factorization
2 | 702, 595, 217, 212, 320 |
2 | 351, 595, 217, 106, 160 |
5 | 351, 595, 217, 53, 80 |
7 | 351, 119, 217, 53, 16 |
351, 17, 31, 53, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 351 x 17 x 31 x 53 x 16 = 21960469440
Therefore, the lowest common multiple of 702,595,217,212,320 is 21960469440.
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.
702 x 595 x 217 x 212 x 320 = 6148931443200
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
595 : 1, 5, 7, 17, 35, 85, 119, 595
217 : 1, 7, 31, 217
212 : 1, 2, 4, 53, 106, 212
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,595,217,212,320, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
595:5x 7x 17
217:7x 31
212:2x 2x 53
320:2x 2x 2x 2x 2x 2x 5
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 7 = 280
Therefore, the value for common factors is 280.
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 = 6148931443200/(1x280)
LCM = 6148931443200/280
LCM = 21960469440
Thus, we can understand that the LCM of 702,595,217,212,320 is 21960469440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 702, 595, 217, 212, 320?
Answer: LCM of 702, 595, 217, 212, 320 is 21960469440.
2. How to calculate the LCM of 702, 595, 217, 212, 320?
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 702, 595, 217, 212, 320.
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}.