Find the LCM of 802, 515, 862, 196, 401 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 802, 515, 862, 196, 401. So, keep reading to learn more.
Given numbers are 802,515,862,196,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,515,862,196,401 is 17445561140.
Find LCM of 802,515,862,196,401 with Prime Factorization
2 | 802, 515, 862, 196, 401 |
401 | 401, 515, 431, 98, 401 |
1, 515, 431, 98, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 401 x 1 x 515 x 431 x 98 x 1 = 17445561140
Therefore, the lowest common multiple of 802,515,862,196,401 is 17445561140.
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.
802 x 515 x 862 x 196 x 401 = 27982680068560
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.
802 : 1, 2, 401, 802
515 : 1, 5, 103, 515
862 : 1, 2, 431, 862
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,515,862,196,401, is 1.
Now, the common factors can be found like this.
802:2x 401
515:5x 103
862:2x 431
196:2x 2x 7x 7
401:401
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 401 = 1604
Therefore, the value for common factors is 1604.
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 = 27982680068560/(1x1604)
LCM = 27982680068560/1604
LCM = 17445561140
Thus, we can understand that the LCM of 802,515,862,196,401 is 17445561140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 515, 862, 196, 401?
Answer: LCM of 802, 515, 862, 196, 401 is 17445561140.
2. How to calculate the LCM of 802, 515, 862, 196, 401?
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 802, 515, 862, 196, 401.
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}.