Find the LCM of 757, 324, 888, 333, 291 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 757, 324, 888, 333, 291. So, keep reading to learn more.
Given numbers are 757,324,888,333,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,324,888,333,291 is 1760533704.
Find LCM of 757,324,888,333,291 with Prime Factorization
2 | 757, 324, 888, 333, 291 |
2 | 757, 162, 444, 333, 291 |
3 | 757, 81, 222, 333, 291 |
3 | 757, 27, 74, 111, 97 |
37 | 757, 9, 74, 37, 97 |
757, 9, 2, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 37 x 757 x 9 x 2 x 1 x 97 = 1760533704
Therefore, the lowest common multiple of 757,324,888,333,291 is 1760533704.
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.
757 x 324 x 888 x 333 x 291 = 21105278043552
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.
757 : 1, 757
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
333 : 1, 3, 9, 37, 111, 333
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,324,888,333,291, is 1.
Now, the common factors can be found like this.
757:757
324:2x 2x 3x 3x 3x 3
888:2x 2x 2x 3x 37
333:3x 3x 37
291:3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 3x 37 = 11988
Therefore, the value for common factors is 11988.
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 = 21105278043552/(1x11988)
LCM = 21105278043552/11988
LCM = 1760533704
Thus, we can understand that the LCM of 757,324,888,333,291 is 1760533704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 757, 324, 888, 333, 291?
Answer: LCM of 757, 324, 888, 333, 291 is 1760533704.
2. How to calculate the LCM of 757, 324, 888, 333, 291?
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 757, 324, 888, 333, 291.
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}.