Find the LCM of 967, 753, 975, 451, 353 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 967, 753, 975, 451, 353. So, keep reading to learn more.
Given numbers are 967,753,975,451,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 967,753,975,451,353 is 37675242687225.
Find LCM of 967,753,975,451,353 with Prime Factorization
3 | 967, 753, 975, 451, 353 |
967, 251, 325, 451, 353 |
Multiply the prime numbers at the bottom and the left side.
3 x 967 x 251 x 325 x 451 x 353 = 37675242687225
Therefore, the lowest common multiple of 967,753,975,451,353 is 37675242687225.
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.
967 x 753 x 975 x 451 x 353 = 113025728061675
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.
967 : 1, 967
753 : 1, 3, 251, 753
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
451 : 1, 11, 41, 451
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,753,975,451,353, is 1.
Now, the common factors can be found like this.
967:967
753:3x 251
975:3x 5x 5x 13
451:11x 41
353:353
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 = 113025728061675/(1x3)
LCM = 113025728061675/3
LCM = 37675242687225
Thus, we can understand that the LCM of 967,753,975,451,353 is 37675242687225.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 967, 753, 975, 451, 353?
Answer: LCM of 967, 753, 975, 451, 353 is 37675242687225.
2. How to calculate the LCM of 967, 753, 975, 451, 353?
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 967, 753, 975, 451, 353.
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}.