Find the LCM of 735, 363, 922, 205 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 735, 363, 922, 205. So, keep reading to learn more.
Given numbers are 735,363,922,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,363,922,205 is 3361920870.
Find LCM of 735,363,922,205 with Prime Factorization
3 | 735, 363, 922, 205 |
5 | 245, 121, 922, 205 |
49, 121, 922, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 49 x 121 x 922 x 41 = 3361920870
Therefore, the lowest common multiple of 735,363,922,205 is 3361920870.
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.
735 x 363 x 922 x 205 = 50428813050
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
363 : 1, 3, 11, 33, 121, 363
922 : 1, 2, 461, 922
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,363,922,205, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
363:3x 11x 11
922:2x 461
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 50428813050/(1x15)
LCM = 50428813050/15
LCM = 3361920870
Thus, we can understand that the LCM of 735,363,922,205 is 3361920870.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 363, 922, 205?
Answer: LCM of 735, 363, 922, 205 is 3361920870.
2. How to calculate the LCM of 735, 363, 922, 205?
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 735, 363, 922, 205.
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}.