Find the LCM of 142, 962, 923, 478 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 142, 962, 923, 478. So, keep reading to learn more.
Given numbers are 142,962,923,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 142,962,923,478 is 16324178.
Find LCM of 142,962,923,478 with Prime Factorization
2 | 142, 962, 923, 478 |
13 | 71, 481, 923, 239 |
71 | 71, 37, 71, 239 |
1, 37, 1, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 1 x 37 x 1 x 239 = 16324178
Therefore, the lowest common multiple of 142,962,923,478 is 16324178.
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.
142 x 962 x 923 x 478 = 60268865176
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.
142 : 1, 2, 71, 142
962 : 1, 2, 13, 26, 37, 74, 481, 962
923 : 1, 13, 71, 923
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,962,923,478, is 1.
Now, the common factors can be found like this.
142:2x 71
962:2x 13x 37
923:13x 71
478:2x 239
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 13x 71 = 3692
Therefore, the value for common factors is 3692.
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 = 60268865176/(1x3692)
LCM = 60268865176/3692
LCM = 16324178
Thus, we can understand that the LCM of 142,962,923,478 is 16324178.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 142, 962, 923, 478?
Answer: LCM of 142, 962, 923, 478 is 16324178.
2. How to calculate the LCM of 142, 962, 923, 478?
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 142, 962, 923, 478.
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}.