Find the LCM of 338, 751, 446, 802 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 338, 751, 446, 802. So, keep reading to learn more.
Given numbers are 338,751,446,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,751,446,802 is 22698955474.
Find LCM of 338,751,446,802 with Prime Factorization
2 | 338, 751, 446, 802 |
169, 751, 223, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 169 x 751 x 223 x 401 = 22698955474
Therefore, the lowest common multiple of 338,751,446,802 is 22698955474.
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.
338 x 751 x 446 x 802 = 90795821896
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.
338 : 1, 2, 13, 26, 169, 338
751 : 1, 751
446 : 1, 2, 223, 446
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,751,446,802, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
751:751
446:2x 223
802:2x 401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 90795821896/(1x4)
LCM = 90795821896/4
LCM = 22698955474
Thus, we can understand that the LCM of 338,751,446,802 is 22698955474.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 751, 446, 802?
Answer: LCM of 338, 751, 446, 802 is 22698955474.
2. How to calculate the LCM of 338, 751, 446, 802?
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 338, 751, 446, 802.
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}.