Find the LCM of 109, 627, 672, 689, 586 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 109, 627, 672, 689, 586. So, keep reading to learn more.
Given numbers are 109,627,672,689,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,627,672,689,586 is 3090501077664.
Find LCM of 109,627,672,689,586 with Prime Factorization
2 | 109, 627, 672, 689, 586 |
3 | 109, 627, 336, 689, 293 |
109, 209, 112, 689, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 209 x 112 x 689 x 293 = 3090501077664
Therefore, the lowest common multiple of 109,627,672,689,586 is 3090501077664.
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.
109 x 627 x 672 x 689 x 586 = 18543006465984
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.
109 : 1, 109
627 : 1, 3, 11, 19, 33, 57, 209, 627
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
689 : 1, 13, 53, 689
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,627,672,689,586, is 1.
Now, the common factors can be found like this.
109:109
627:3x 11x 19
672:2x 2x 2x 2x 2x 3x 7
689:13x 53
586:2x 293
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 18543006465984/(1x6)
LCM = 18543006465984/6
LCM = 3090501077664
Thus, we can understand that the LCM of 109,627,672,689,586 is 3090501077664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 109, 627, 672, 689, 586?
Answer: LCM of 109, 627, 672, 689, 586 is 3090501077664.
2. How to calculate the LCM of 109, 627, 672, 689, 586?
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 109, 627, 672, 689, 586.
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}.