Find the LCM of 802, 588, 556, 956, 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, 588, 556, 956, 401. So, keep reading to learn more.
Given numbers are 802,588,556,956,401
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,588,556,956,401 is 7833113148.
Find LCM of 802,588,556,956,401 with Prime Factorization
2 | 802, 588, 556, 956, 401 |
2 | 401, 294, 278, 478, 401 |
401 | 401, 147, 139, 239, 401 |
1, 147, 139, 239, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 401 x 1 x 147 x 139 x 239 x 1 = 7833113148
Therefore, the lowest common multiple of 802,588,556,956,401 is 7833113148.
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 588 x 556 x 956 x 401 = 100514507915136
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
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
556 : 1, 2, 4, 139, 278, 556
956 : 1, 2, 4, 239, 478, 956
401 : 1, 401
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,588,556,956,401, is 1.
Now, the common factors can be found like this.
802:2x 401
588:2x 2x 3x 7x 7
556:2x 2x 139
956:2x 2x 239
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 2x 2x 2x 401 = 12832
Therefore, the value for common factors is 12832.
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 = 100514507915136/(1x12832)
LCM = 100514507915136/12832
LCM = 7833113148
Thus, we can understand that the LCM of 802,588,556,956,401 is 7833113148.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 588, 556, 956, 401?
Answer: LCM of 802, 588, 556, 956, 401 is 7833113148.
2. How to calculate the LCM of 802, 588, 556, 956, 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, 588, 556, 956, 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}.