Find the LCM of 978, 469, 257, 201 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, 469, 257, 201. So, keep reading to learn more.
Given numbers are 978,469,257,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,469,257,201 is 117881274.
Find LCM of 978,469,257,201 with Prime Factorization
3 | 978, 469, 257, 201 |
67 | 326, 469, 257, 67 |
326, 7, 257, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 67 x 326 x 7 x 257 x 1 = 117881274
Therefore, the lowest common multiple of 978,469,257,201 is 117881274.
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 469 x 257 x 201 = 23694136074
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
469 : 1, 7, 67, 469
257 : 1, 257
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,469,257,201, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
469:7x 67
257:257
201:3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 67 = 201
Therefore, the value for common factors is 201.
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 = 23694136074/(1x201)
LCM = 23694136074/201
LCM = 117881274
Thus, we can understand that the LCM of 978,469,257,201 is 117881274.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 469, 257, 201?
Answer: LCM of 978, 469, 257, 201 is 117881274.
2. How to calculate the LCM of 978, 469, 257, 201?
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, 469, 257, 201.
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}.