Find the LCM of 689, 672, 868, 187 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 689, 672, 868, 187. So, keep reading to learn more.
Given numbers are 689,672,868,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,672,868,187 is 2684057376.
Find LCM of 689,672,868,187 with Prime Factorization
2 | 689, 672, 868, 187 |
2 | 689, 336, 434, 187 |
7 | 689, 168, 217, 187 |
689, 24, 31, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 689 x 24 x 31 x 187 = 2684057376
Therefore, the lowest common multiple of 689,672,868,187 is 2684057376.
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.
689 x 672 x 868 x 187 = 75153606528
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.
689 : 1, 13, 53, 689
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,672,868,187, is 1.
Now, the common factors can be found like this.
689:13x 53
672:2x 2x 2x 2x 2x 3x 7
868:2x 2x 7x 31
187:11x 17
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 7 = 28
Therefore, the value for common factors is 28.
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 = 75153606528/(1x28)
LCM = 75153606528/28
LCM = 2684057376
Thus, we can understand that the LCM of 689,672,868,187 is 2684057376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 689, 672, 868, 187?
Answer: LCM of 689, 672, 868, 187 is 2684057376.
2. How to calculate the LCM of 689, 672, 868, 187?
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 689, 672, 868, 187.
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}.