Find the LCM of 496, 361, 361, 779, 733 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 496, 361, 361, 779, 733. So, keep reading to learn more.
Given numbers are 496,361,361,779,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,361,361,779,733 is 5381169968.
Find LCM of 496,361,361,779,733 with Prime Factorization
19 | 496, 361, 361, 779, 733 |
19 | 496, 19, 19, 41, 733 |
496, 1, 1, 41, 733 |
Multiply the prime numbers at the bottom and the left side.
19 x 19 x 496 x 1 x 1 x 41 x 733 = 5381169968
Therefore, the lowest common multiple of 496,361,361,779,733 is 5381169968.
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.
496 x 361 x 361 x 779 x 733 = 36909444810512
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
361 : 1, 19, 361
361 : 1, 19, 361
779 : 1, 19, 41, 779
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,361,361,779,733, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
361:19x 19
361:19x 19
779:19x 41
733:733
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 19x 19 = 6859
Therefore, the value for common factors is 6859.
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 = 36909444810512/(1x6859)
LCM = 36909444810512/6859
LCM = 5381169968
Thus, we can understand that the LCM of 496,361,361,779,733 is 5381169968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 496, 361, 361, 779, 733?
Answer: LCM of 496, 361, 361, 779, 733 is 5381169968.
2. How to calculate the LCM of 496, 361, 361, 779, 733?
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 496, 361, 361, 779, 733.
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}.