Find the LCM of 860, 656, 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 860, 656, 759, 560. So, keep reading to learn more.
Given numbers are 860,656,759,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,656,759,560 is 749345520.
Find LCM of 860,656,759,560 with Prime Factorization
2 | 860, 656, 759, 560 |
2 | 430, 328, 759, 280 |
2 | 215, 164, 759, 140 |
2 | 215, 82, 759, 70 |
5 | 215, 41, 759, 35 |
43, 41, 759, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 43 x 41 x 759 x 7 = 749345520
Therefore, the lowest common multiple of 860,656,759,560 is 749345520.
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.
860 x 656 x 759 x 560 = 239790566400
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
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 860,656,759,560, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
656:2x 2x 2x 2x 41
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.
2x 2x 2x 2x 2x 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 239790566400/(1x320)
LCM = 239790566400/320
LCM = 749345520
Thus, we can understand that the LCM of 860,656,759,560 is 749345520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 860, 656, 759, 560?
Answer: LCM of 860, 656, 759, 560 is 749345520.
2. How to calculate the LCM of 860, 656, 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 860, 656, 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}.