Find the LCM of 222, 703, 403, 899, 145 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 222, 703, 403, 899, 145. So, keep reading to learn more.
Given numbers are 222,703,403,899,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,703,403,899,145 is 246478830.
Find LCM of 222,703,403,899,145 with Prime Factorization
29 | 222, 703, 403, 899, 145 |
31 | 222, 703, 403, 31, 5 |
37 | 222, 703, 13, 1, 5 |
6, 19, 13, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
29 x 31 x 37 x 6 x 19 x 13 x 1 x 5 = 246478830
Therefore, the lowest common multiple of 222,703,403,899,145 is 246478830.
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.
222 x 703 x 403 x 899 x 145 = 8198625322290
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
703 : 1, 19, 37, 703
403 : 1, 13, 31, 403
899 : 1, 29, 31, 899
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,703,403,899,145, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
703:19x 37
403:13x 31
899:29x 31
145:5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29x 31x 37 = 33263
Therefore, the value for common factors is 33263.
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 = 8198625322290/(1x33263)
LCM = 8198625322290/33263
LCM = 246478830
Thus, we can understand that the LCM of 222,703,403,899,145 is 246478830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 222, 703, 403, 899, 145?
Answer: LCM of 222, 703, 403, 899, 145 is 246478830.
2. How to calculate the LCM of 222, 703, 403, 899, 145?
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 222, 703, 403, 899, 145.
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}.