Find the LCM of 461, 458, 519, 735 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 461, 458, 519, 735. So, keep reading to learn more.
Given numbers are 461,458,519,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,458,519,735 is 26847252390.
Find LCM of 461,458,519,735 with Prime Factorization
3 | 461, 458, 519, 735 |
461, 458, 173, 245 |
Multiply the prime numbers at the bottom and the left side.
3 x 461 x 458 x 173 x 245 = 26847252390
Therefore, the lowest common multiple of 461,458,519,735 is 26847252390.
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.
461 x 458 x 519 x 735 = 80541757170
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.
461 : 1, 461
458 : 1, 2, 229, 458
519 : 1, 3, 173, 519
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,458,519,735, is 1.
Now, the common factors can be found like this.
461:461
458:2x 229
519:3x 173
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 80541757170/(1x3)
LCM = 80541757170/3
LCM = 26847252390
Thus, we can understand that the LCM of 461,458,519,735 is 26847252390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 458, 519, 735?
Answer: LCM of 461, 458, 519, 735 is 26847252390.
2. How to calculate the LCM of 461, 458, 519, 735?
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 461, 458, 519, 735.
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}.