Find the LCM of 109, 652, 746, 789 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, 652, 746, 789. So, keep reading to learn more.
Given numbers are 109,652,746,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,652,746,789 is 20915099196.
Find LCM of 109,652,746,789 with Prime Factorization
2 | 109, 652, 746, 789 |
109, 326, 373, 789 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 326 x 373 x 789 = 20915099196
Therefore, the lowest common multiple of 109,652,746,789 is 20915099196.
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 652 x 746 x 789 = 41830198392
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
652 : 1, 2, 4, 163, 326, 652
746 : 1, 2, 373, 746
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,652,746,789, is 1.
Now, the common factors can be found like this.
109:109
652:2x 2x 163
746:2x 373
789:3x 263
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 41830198392/(1x2)
LCM = 41830198392/2
LCM = 20915099196
Thus, we can understand that the LCM of 109,652,746,789 is 20915099196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 109, 652, 746, 789?
Answer: LCM of 109, 652, 746, 789 is 20915099196.
2. How to calculate the LCM of 109, 652, 746, 789?
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, 652, 746, 789.
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}.