LCM of 720, 240, 217, 942, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 240, 217, 942, 301 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 720, 240, 217, 942, 301. So, keep reading to learn more.
Given numbers are 720,240,217,942,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,240,217,942,301 is 1054776240.
Find LCM of 720,240,217,942,301 with Prime Factorization
| 2 | 720, 240, 217, 942, 301 |
| 2 | 360, 120, 217, 471, 301 |
| 2 | 180, 60, 217, 471, 301 |
| 2 | 90, 30, 217, 471, 301 |
| 3 | 45, 15, 217, 471, 301 |
| 5 | 5, 15, 217, 157, 301 |
| 7 | 1, 3, 217, 157, 301 |
| 1, 3, 31, 157, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 3 x 31 x 157 x 43 = 1054776240
Therefore, the lowest common multiple of 720,240,217,942,301 is 1054776240.
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.
720 x 240 x 217 x 942 x 301 = 10632144499200
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.
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
217 : 1, 7, 31, 217
942 : 1, 2, 3, 6, 157, 314, 471, 942
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,240,217,942,301, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
240:2x 2x 2x 2x 3x 5
217:7x 31
942:2x 3x 157
301:7x 43
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 2x 3x 3x 5x 7 = 10080
Therefore, the value for common factors is 10080.
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 = 10632144499200/(1x10080)
LCM = 10632144499200/10080
LCM = 1054776240
Thus, we can understand that the LCM of 720,240,217,942,301 is 1054776240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 720, 240, 217, 942, 301
1. What is the LCM of 720, 240, 217, 942, 301?
Answer: LCM of 720, 240, 217, 942, 301 is 1054776240.
2. How to calculate the LCM of 720, 240, 217, 942, 301?
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 720, 240, 217, 942, 301.
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}.