LCM of 772, 303, 391, 330, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 303, 391, 330, 942 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 772, 303, 391, 330, 942. So, keep reading to learn more.
Given numbers are 772,303,391,330,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,303,391,330,942 is 789767082060.
Find LCM of 772,303,391,330,942 with Prime Factorization
| 2 | 772, 303, 391, 330, 942 |
| 3 | 386, 303, 391, 165, 471 |
| 386, 101, 391, 55, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 386 x 101 x 391 x 55 x 157 = 789767082060
Therefore, the lowest common multiple of 772,303,391,330,942 is 789767082060.
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.
772 x 303 x 391 x 330 x 942 = 28431614954160
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.
772 : 1, 2, 4, 193, 386, 772
303 : 1, 3, 101, 303
391 : 1, 17, 23, 391
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,303,391,330,942, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
303:3x 101
391:17x 23
330:2x 3x 5x 11
942:2x 3x 157
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 3 = 36
Therefore, the value for common factors is 36.
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 = 28431614954160/(1x36)
LCM = 28431614954160/36
LCM = 789767082060
Thus, we can understand that the LCM of 772,303,391,330,942 is 789767082060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 772, 303, 391, 330, 942
1. What is the LCM of 772, 303, 391, 330, 942?
Answer: LCM of 772, 303, 391, 330, 942 is 789767082060.
2. How to calculate the LCM of 772, 303, 391, 330, 942?
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 772, 303, 391, 330, 942.
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}.