Find the LCM of 620, 957, 560, 135, 979 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 620, 957, 560, 135, 979. So, keep reading to learn more.
Given numbers are 620,957,560,135,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,957,560,135,979 is 13307429520.
Find LCM of 620,957,560,135,979 with Prime Factorization
2 | 620, 957, 560, 135, 979 |
2 | 310, 957, 280, 135, 979 |
3 | 155, 957, 140, 135, 979 |
5 | 155, 319, 140, 45, 979 |
11 | 31, 319, 28, 9, 979 |
31, 29, 28, 9, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 31 x 29 x 28 x 9 x 89 = 13307429520
Therefore, the lowest common multiple of 620,957,560,135,979 is 13307429520.
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.
620 x 957 x 560 x 135 x 979 = 43914517416000
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
957 : 1, 3, 11, 29, 33, 87, 319, 957
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
135 : 1, 3, 5, 9, 15, 27, 45, 135
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,957,560,135,979, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
957:3x 11x 29
560:2x 2x 2x 2x 5x 7
135:3x 3x 3x 5
979:11x 89
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 3x 5x 5x 11 = 3300
Therefore, the value for common factors is 3300.
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 = 43914517416000/(1x3300)
LCM = 43914517416000/3300
LCM = 13307429520
Thus, we can understand that the LCM of 620,957,560,135,979 is 13307429520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 620, 957, 560, 135, 979?
Answer: LCM of 620, 957, 560, 135, 979 is 13307429520.
2. How to calculate the LCM of 620, 957, 560, 135, 979?
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 620, 957, 560, 135, 979.
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}.