Find the LCM of 978, 686, 531, 229, 286 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 978, 686, 531, 229, 286. So, keep reading to learn more.
Given numbers are 978,686,531,229,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,686,531,229,286 is 1944364848426.
Find LCM of 978,686,531,229,286 with Prime Factorization
2 | 978, 686, 531, 229, 286 |
3 | 489, 343, 531, 229, 143 |
163, 343, 177, 229, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 163 x 343 x 177 x 229 x 143 = 1944364848426
Therefore, the lowest common multiple of 978,686,531,229,286 is 1944364848426.
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.
978 x 686 x 531 x 229 x 286 = 23332378181112
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
686 : 1, 2, 7, 14, 49, 98, 343, 686
531 : 1, 3, 9, 59, 177, 531
229 : 1, 229
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,686,531,229,286, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
686:2x 7x 7x 7
531:3x 3x 59
229:229
286:2x 11x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 23332378181112/(1x12)
LCM = 23332378181112/12
LCM = 1944364848426
Thus, we can understand that the LCM of 978,686,531,229,286 is 1944364848426.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 686, 531, 229, 286?
Answer: LCM of 978, 686, 531, 229, 286 is 1944364848426.
2. How to calculate the LCM of 978, 686, 531, 229, 286?
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 978, 686, 531, 229, 286.
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}.