Find the LCM of 130, 931, 918, 835, 986 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 130, 931, 918, 835, 986. So, keep reading to learn more.
Given numbers are 130,931,918,835,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,931,918,835,986 is 269042065110.
Find LCM of 130,931,918,835,986 with Prime Factorization
2 | 130, 931, 918, 835, 986 |
5 | 65, 931, 459, 835, 493 |
17 | 13, 931, 459, 167, 493 |
13, 931, 27, 167, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 13 x 931 x 27 x 167 x 29 = 269042065110
Therefore, the lowest common multiple of 130,931,918,835,986 is 269042065110.
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.
130 x 931 x 918 x 835 x 986 = 91474302137400
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
931 : 1, 7, 19, 49, 133, 931
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
835 : 1, 5, 167, 835
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,931,918,835,986, is 1.
Now, the common factors can be found like this.
130:2x 5x 13
931:7x 7x 19
918:2x 3x 3x 3x 17
835:5x 167
986:2x 17x 29
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 91474302137400/(1x340)
LCM = 91474302137400/340
LCM = 269042065110
Thus, we can understand that the LCM of 130,931,918,835,986 is 269042065110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 130, 931, 918, 835, 986?
Answer: LCM of 130, 931, 918, 835, 986 is 269042065110.
2. How to calculate the LCM of 130, 931, 918, 835, 986?
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 130, 931, 918, 835, 986.
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}.