LCM of 139, 949, 973, 446, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 949, 973, 446, 438 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 139, 949, 973, 446, 438. So, keep reading to learn more.
Given numbers are 139,949,973,446,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,949,973,446,438 is 1235478426.
Find LCM of 139,949,973,446,438 with Prime Factorization
| 2 | 139, 949, 973, 446, 438 |
| 73 | 139, 949, 973, 223, 219 |
| 139 | 139, 13, 973, 223, 3 |
| 1, 13, 7, 223, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 139 x 1 x 13 x 7 x 223 x 3 = 1235478426
Therefore, the lowest common multiple of 139,949,973,446,438 is 1235478426.
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.
139 x 949 x 973 x 446 x 438 = 25072799177244
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.
139 : 1, 139
949 : 1, 13, 73, 949
973 : 1, 7, 139, 973
446 : 1, 2, 223, 446
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,949,973,446,438, is 1.
Now, the common factors can be found like this.
139:139
949:13x 73
973:7x 139
446:2x 223
438:2x 3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 73x 139 = 20294
Therefore, the value for common factors is 20294.
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 = 25072799177244/(1x20294)
LCM = 25072799177244/20294
LCM = 1235478426
Thus, we can understand that the LCM of 139,949,973,446,438 is 1235478426.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 139, 949, 973, 446, 438
1. What is the LCM of 139, 949, 973, 446, 438?
Answer: LCM of 139, 949, 973, 446, 438 is 1235478426.
2. How to calculate the LCM of 139, 949, 973, 446, 438?
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 139, 949, 973, 446, 438.
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}.