Find the LCM of 162, 684, 346, 988, 931 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 162, 684, 346, 988, 931. So, keep reading to learn more.
Given numbers are 162,684,346,988,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,684,346,988,931 is 678397356.
Find LCM of 162,684,346,988,931 with Prime Factorization
2 | 162, 684, 346, 988, 931 |
2 | 81, 342, 173, 494, 931 |
3 | 81, 171, 173, 247, 931 |
3 | 27, 57, 173, 247, 931 |
19 | 9, 19, 173, 247, 931 |
9, 1, 173, 13, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 9 x 1 x 173 x 13 x 49 = 678397356
Therefore, the lowest common multiple of 162,684,346,988,931 is 678397356.
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.
162 x 684 x 346 x 988 x 931 = 35265808154304
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
346 : 1, 2, 173, 346
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,684,346,988,931, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
684:2x 2x 3x 3x 19
346:2x 173
988:2x 2x 13x 19
931:7x 7x 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 2x 2x 3x 3x 19x 19 = 51984
Therefore, the value for common factors is 51984.
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 = 35265808154304/(1x51984)
LCM = 35265808154304/51984
LCM = 678397356
Thus, we can understand that the LCM of 162,684,346,988,931 is 678397356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 162, 684, 346, 988, 931?
Answer: LCM of 162, 684, 346, 988, 931 is 678397356.
2. How to calculate the LCM of 162, 684, 346, 988, 931?
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 162, 684, 346, 988, 931.
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}.