Find the LCM of 969, 759, 759, 560 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 969, 759, 759, 560. So, keep reading to learn more.
Given numbers are 969,759,759,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,759,759,560 is 137287920.
Find LCM of 969,759,759,560 with Prime Factorization
3 | 969, 759, 759, 560 |
11 | 323, 253, 253, 560 |
23 | 323, 23, 23, 560 |
323, 1, 1, 560 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 323 x 1 x 1 x 560 = 137287920
Therefore, the lowest common multiple of 969,759,759,560 is 137287920.
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.
969 x 759 x 759 x 560 = 312604593840
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
759 : 1, 3, 11, 23, 33, 69, 253, 759
759 : 1, 3, 11, 23, 33, 69, 253, 759
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,759,759,560, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
759:3x 11x 23
759:3x 11x 23
560:2x 2x 2x 2x 5x 7
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 11x 23 = 2277
Therefore, the value for common factors is 2277.
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 = 312604593840/(1x2277)
LCM = 312604593840/2277
LCM = 137287920
Thus, we can understand that the LCM of 969,759,759,560 is 137287920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 759, 759, 560?
Answer: LCM of 969, 759, 759, 560 is 137287920.
2. How to calculate the LCM of 969, 759, 759, 560?
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 969, 759, 759, 560.
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}.