Find the LCM of 138, 377, 143, 745 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 138, 377, 143, 745. So, keep reading to learn more.
Given numbers are 138,377,143,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,377,143,745 is 426353070.
Find LCM of 138,377,143,745 with Prime Factorization
13 | 138, 377, 143, 745 |
138, 29, 11, 745 |
Multiply the prime numbers at the bottom and the left side.
13 x 138 x 29 x 11 x 745 = 426353070
Therefore, the lowest common multiple of 138,377,143,745 is 426353070.
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.
138 x 377 x 143 x 745 = 5542589910
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
377 : 1, 13, 29, 377
143 : 1, 11, 13, 143
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,377,143,745, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
377:13x 29
143:11x 13
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 5542589910/(1x13)
LCM = 5542589910/13
LCM = 426353070
Thus, we can understand that the LCM of 138,377,143,745 is 426353070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 377, 143, 745?
Answer: LCM of 138, 377, 143, 745 is 426353070.
2. How to calculate the LCM of 138, 377, 143, 745?
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 138, 377, 143, 745.
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}.