Find the LCM of 733, 326, 975, 100, 935 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 733, 326, 975, 100, 935. So, keep reading to learn more.
Given numbers are 733,326,975,100,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,326,975,100,935 is 87136034700.
Find LCM of 733,326,975,100,935 with Prime Factorization
2 | 733, 326, 975, 100, 935 |
5 | 733, 163, 975, 50, 935 |
5 | 733, 163, 195, 10, 187 |
733, 163, 39, 2, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 733 x 163 x 39 x 2 x 187 = 87136034700
Therefore, the lowest common multiple of 733,326,975,100,935 is 87136034700.
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.
733 x 326 x 975 x 100 x 935 = 21784008675000
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.
733 : 1, 733
326 : 1, 2, 163, 326
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,326,975,100,935, is 1.
Now, the common factors can be found like this.
733:733
326:2x 163
975:3x 5x 5x 13
100:2x 2x 5x 5
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 21784008675000/(1x250)
LCM = 21784008675000/250
LCM = 87136034700
Thus, we can understand that the LCM of 733,326,975,100,935 is 87136034700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 733, 326, 975, 100, 935?
Answer: LCM of 733, 326, 975, 100, 935 is 87136034700.
2. How to calculate the LCM of 733, 326, 975, 100, 935?
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 733, 326, 975, 100, 935.
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}.