Find the LCM of 401, 973, 659, 598, 348 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 401, 973, 659, 598, 348. So, keep reading to learn more.
Given numbers are 401,973,659,598,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,973,659,598,348 is 26754267176364.
Find LCM of 401,973,659,598,348 with Prime Factorization
2 | 401, 973, 659, 598, 348 |
401, 973, 659, 299, 174 |
Multiply the prime numbers at the bottom and the left side.
2 x 401 x 973 x 659 x 299 x 174 = 26754267176364
Therefore, the lowest common multiple of 401,973,659,598,348 is 26754267176364.
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.
401 x 973 x 659 x 598 x 348 = 53508534352728
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.
401 : 1, 401
973 : 1, 7, 139, 973
659 : 1, 659
598 : 1, 2, 13, 23, 26, 46, 299, 598
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,973,659,598,348, is 1.
Now, the common factors can be found like this.
401:401
973:7x 139
659:659
598:2x 13x 23
348:2x 2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 53508534352728/(1x2)
LCM = 53508534352728/2
LCM = 26754267176364
Thus, we can understand that the LCM of 401,973,659,598,348 is 26754267176364.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 401, 973, 659, 598, 348?
Answer: LCM of 401, 973, 659, 598, 348 is 26754267176364.
2. How to calculate the LCM of 401, 973, 659, 598, 348?
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 401, 973, 659, 598, 348.
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}.