Find the LCM of 866, 340, 335, 760 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 866, 340, 335, 760. So, keep reading to learn more.
Given numbers are 866,340,335,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,340,335,760 is 374822120.
Find LCM of 866,340,335,760 with Prime Factorization
2 | 866, 340, 335, 760 |
2 | 433, 170, 335, 380 |
5 | 433, 85, 335, 190 |
433, 17, 67, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 433 x 17 x 67 x 38 = 374822120
Therefore, the lowest common multiple of 866,340,335,760 is 374822120.
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.
866 x 340 x 335 x 760 = 74964424000
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.
866 : 1, 2, 433, 866
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
335 : 1, 5, 67, 335
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,340,335,760, is 1.
Now, the common factors can be found like this.
866:2x 433
340:2x 2x 5x 17
335:5x 67
760:2x 2x 2x 5x 19
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 5 = 200
Therefore, the value for common factors is 200.
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 = 74964424000/(1x200)
LCM = 74964424000/200
LCM = 374822120
Thus, we can understand that the LCM of 866,340,335,760 is 374822120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 340, 335, 760?
Answer: LCM of 866, 340, 335, 760 is 374822120.
2. How to calculate the LCM of 866, 340, 335, 760?
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 866, 340, 335, 760.
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}.