Find the LCM of 295, 745, 643, 720, 372 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 295, 745, 643, 720, 372. So, keep reading to learn more.
Given numbers are 295,745,643,720,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,745,643,720,372 is 126166322160.
Find LCM of 295,745,643,720,372 with Prime Factorization
2 | 295, 745, 643, 720, 372 |
2 | 295, 745, 643, 360, 186 |
3 | 295, 745, 643, 180, 93 |
5 | 295, 745, 643, 60, 31 |
59, 149, 643, 12, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 59 x 149 x 643 x 12 x 31 = 126166322160
Therefore, the lowest common multiple of 295,745,643,720,372 is 126166322160.
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.
295 x 745 x 643 x 720 x 372 = 37849896648000
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.
295 : 1, 5, 59, 295
745 : 1, 5, 149, 745
643 : 1, 643
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,745,643,720,372, is 1.
Now, the common factors can be found like this.
295:5x 59
745:5x 149
643:643
720:2x 2x 2x 2x 3x 3x 5
372:2x 2x 3x 31
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 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 37849896648000/(1x300)
LCM = 37849896648000/300
LCM = 126166322160
Thus, we can understand that the LCM of 295,745,643,720,372 is 126166322160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 745, 643, 720, 372?
Answer: LCM of 295, 745, 643, 720, 372 is 126166322160.
2. How to calculate the LCM of 295, 745, 643, 720, 372?
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 295, 745, 643, 720, 372.
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}.