Find the LCM of 119, 275, 986, 760, 452 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 119, 275, 986, 760, 452. So, keep reading to learn more.
Given numbers are 119,275,986,760,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,275,986,760,452 is 16300453400.
Find LCM of 119,275,986,760,452 with Prime Factorization
2 | 119, 275, 986, 760, 452 |
2 | 119, 275, 493, 380, 226 |
5 | 119, 275, 493, 190, 113 |
17 | 119, 55, 493, 38, 113 |
7, 55, 29, 38, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 7 x 55 x 29 x 38 x 113 = 16300453400
Therefore, the lowest common multiple of 119,275,986,760,452 is 16300453400.
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.
119 x 275 x 986 x 760 x 452 = 11084308312000
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.
119 : 1, 7, 17, 119
275 : 1, 5, 11, 25, 55, 275
986 : 1, 2, 17, 29, 34, 58, 493, 986
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,275,986,760,452, is 1.
Now, the common factors can be found like this.
119:7x 17
275:5x 5x 11
986:2x 17x 29
760:2x 2x 2x 5x 19
452:2x 2x 113
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 2x 5x 17 = 680
Therefore, the value for common factors is 680.
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 = 11084308312000/(1x680)
LCM = 11084308312000/680
LCM = 16300453400
Thus, we can understand that the LCM of 119,275,986,760,452 is 16300453400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 119, 275, 986, 760, 452?
Answer: LCM of 119, 275, 986, 760, 452 is 16300453400.
2. How to calculate the LCM of 119, 275, 986, 760, 452?
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 119, 275, 986, 760, 452.
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}.