Find the LCM of 955, 353, 382, 815 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 955, 353, 382, 815. So, keep reading to learn more.
Given numbers are 955,353,382,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,353,382,815 is 109899490.
Find LCM of 955,353,382,815 with Prime Factorization
5 | 955, 353, 382, 815 |
191 | 191, 353, 382, 163 |
1, 353, 2, 163 |
Multiply the prime numbers at the bottom and the left side.
5 x 191 x 1 x 353 x 2 x 163 = 109899490
Therefore, the lowest common multiple of 955,353,382,815 is 109899490.
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.
955 x 353 x 382 x 815 = 104954012950
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.
955 : 1, 5, 191, 955
353 : 1, 353
382 : 1, 2, 191, 382
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,353,382,815, is 1.
Now, the common factors can be found like this.
955:5x 191
353:353
382:2x 191
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 191 = 955
Therefore, the value for common factors is 955.
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 = 104954012950/(1x955)
LCM = 104954012950/955
LCM = 109899490
Thus, we can understand that the LCM of 955,353,382,815 is 109899490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 955, 353, 382, 815?
Answer: LCM of 955, 353, 382, 815 is 109899490.
2. How to calculate the LCM of 955, 353, 382, 815?
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 955, 353, 382, 815.
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}.