Find the LCM of 353, 961, 353, 509 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 353, 961, 353, 509. So, keep reading to learn more.
Given numbers are 353,961,353,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,961,353,509 is 172669597.
Find LCM of 353,961,353,509 with Prime Factorization
353 | 353, 961, 353, 509 |
1, 961, 1, 509 |
Multiply the prime numbers at the bottom and the left side.
353 x 1 x 961 x 1 x 509 = 172669597
Therefore, the lowest common multiple of 353,961,353,509 is 172669597.
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.
353 x 961 x 353 x 509 = 60952367741
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.
353 : 1, 353
961 : 1, 31, 961
353 : 1, 353
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,961,353,509, is 1.
Now, the common factors can be found like this.
353:353
961:31x 31
353:353
509:509
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
353 = 353
Therefore, the value for common factors is 353.
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 = 60952367741/(1x353)
LCM = 60952367741/353
LCM = 172669597
Thus, we can understand that the LCM of 353,961,353,509 is 172669597.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 353, 961, 353, 509?
Answer: LCM of 353, 961, 353, 509 is 172669597.
2. How to calculate the LCM of 353, 961, 353, 509?
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 353, 961, 353, 509.
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}.