Find the LCM of 686, 849, 283, 965 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 686, 849, 283, 965. So, keep reading to learn more.
Given numbers are 686,849,283,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,849,283,965 is 562029510.
Find LCM of 686,849,283,965 with Prime Factorization
283 | 686, 849, 283, 965 |
686, 3, 1, 965 |
Multiply the prime numbers at the bottom and the left side.
283 x 686 x 3 x 1 x 965 = 562029510
Therefore, the lowest common multiple of 686,849,283,965 is 562029510.
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.
686 x 849 x 283 x 965 = 159054351330
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
849 : 1, 3, 283, 849
283 : 1, 283
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,849,283,965, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
849:3x 283
283:283
965:5x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
283 = 283
Therefore, the value for common factors is 283.
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 = 159054351330/(1x283)
LCM = 159054351330/283
LCM = 562029510
Thus, we can understand that the LCM of 686,849,283,965 is 562029510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 686, 849, 283, 965?
Answer: LCM of 686, 849, 283, 965 is 562029510.
2. How to calculate the LCM of 686, 849, 283, 965?
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 686, 849, 283, 965.
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}.