Find the LCM of 361, 461, 901, 922 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 361, 461, 901, 922. So, keep reading to learn more.
Given numbers are 361,461,901,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,461,901,922 is 299890642.
Find LCM of 361,461,901,922 with Prime Factorization
461 | 361, 461, 901, 922 |
361, 1, 901, 2 |
Multiply the prime numbers at the bottom and the left side.
461 x 361 x 1 x 901 x 2 = 299890642
Therefore, the lowest common multiple of 361,461,901,922 is 299890642.
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.
361 x 461 x 901 x 922 = 138249585962
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.
361 : 1, 19, 361
461 : 1, 461
901 : 1, 17, 53, 901
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,461,901,922, is 1.
Now, the common factors can be found like this.
361:19x 19
461:461
901:17x 53
922:2x 461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
461 = 461
Therefore, the value for common factors is 461.
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 = 138249585962/(1x461)
LCM = 138249585962/461
LCM = 299890642
Thus, we can understand that the LCM of 361,461,901,922 is 299890642.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 361, 461, 901, 922?
Answer: LCM of 361, 461, 901, 922 is 299890642.
2. How to calculate the LCM of 361, 461, 901, 922?
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 361, 461, 901, 922.
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}.