Find the LCM of 964, 503, 978, 772, 338 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 964, 503, 978, 772, 338. So, keep reading to learn more.
Given numbers are 964,503,978,772,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,503,978,772,338 is 7733888235996.
Find LCM of 964,503,978,772,338 with Prime Factorization
2 | 964, 503, 978, 772, 338 |
2 | 482, 503, 489, 386, 169 |
241, 503, 489, 193, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 241 x 503 x 489 x 193 x 169 = 7733888235996
Therefore, the lowest common multiple of 964,503,978,772,338 is 7733888235996.
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.
964 x 503 x 978 x 772 x 338 = 123742211775936
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.
964 : 1, 2, 4, 241, 482, 964
503 : 1, 503
978 : 1, 2, 3, 6, 163, 326, 489, 978
772 : 1, 2, 4, 193, 386, 772
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,503,978,772,338, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
503:503
978:2x 3x 163
772:2x 2x 193
338:2x 13x 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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 123742211775936/(1x16)
LCM = 123742211775936/16
LCM = 7733888235996
Thus, we can understand that the LCM of 964,503,978,772,338 is 7733888235996.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 503, 978, 772, 338?
Answer: LCM of 964, 503, 978, 772, 338 is 7733888235996.
2. How to calculate the LCM of 964, 503, 978, 772, 338?
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 964, 503, 978, 772, 338.
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}.