Find the LCM of 161, 203, 355, 923 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 161, 203, 355, 923. So, keep reading to learn more.
Given numbers are 161,203,355,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,203,355,923 is 21547435.
Find LCM of 161,203,355,923 with Prime Factorization
7 | 161, 203, 355, 923 |
71 | 23, 29, 355, 923 |
23, 29, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
7 x 71 x 23 x 29 x 5 x 13 = 21547435
Therefore, the lowest common multiple of 161,203,355,923 is 21547435.
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.
161 x 203 x 355 x 923 = 10709075195
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.
161 : 1, 7, 23, 161
203 : 1, 7, 29, 203
355 : 1, 5, 71, 355
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,203,355,923, is 1.
Now, the common factors can be found like this.
161:7x 23
203:7x 29
355:5x 71
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 71 = 497
Therefore, the value for common factors is 497.
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 = 10709075195/(1x497)
LCM = 10709075195/497
LCM = 21547435
Thus, we can understand that the LCM of 161,203,355,923 is 21547435.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 161, 203, 355, 923?
Answer: LCM of 161, 203, 355, 923 is 21547435.
2. How to calculate the LCM of 161, 203, 355, 923?
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 161, 203, 355, 923.
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}.