Find the LCM of 309, 927, 832, 961, 988 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 309, 927, 832, 961, 988. So, keep reading to learn more.
Given numbers are 309,927,832,961,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,927,832,961,988 is 14082509376.
Find LCM of 309,927,832,961,988 with Prime Factorization
2 | 309, 927, 832, 961, 988 |
2 | 309, 927, 416, 961, 494 |
3 | 309, 927, 208, 961, 247 |
13 | 103, 309, 208, 961, 247 |
103 | 103, 309, 16, 961, 19 |
1, 3, 16, 961, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 103 x 1 x 3 x 16 x 961 x 19 = 14082509376
Therefore, the lowest common multiple of 309,927,832,961,988 is 14082509376.
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.
309 x 927 x 832 x 961 x 988 = 226277760653568
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.
309 : 1, 3, 103, 309
927 : 1, 3, 9, 103, 309, 927
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
961 : 1, 31, 961
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,927,832,961,988, is 1.
Now, the common factors can be found like this.
309:3x 103
927:3x 3x 103
832:2x 2x 2x 2x 2x 2x 13
961:31x 31
988:2x 2x 13x 19
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 13x 103 = 16068
Therefore, the value for common factors is 16068.
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 = 226277760653568/(1x16068)
LCM = 226277760653568/16068
LCM = 14082509376
Thus, we can understand that the LCM of 309,927,832,961,988 is 14082509376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 927, 832, 961, 988?
Answer: LCM of 309, 927, 832, 961, 988 is 14082509376.
2. How to calculate the LCM of 309, 927, 832, 961, 988?
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 309, 927, 832, 961, 988.
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}.