LCM of 237, 790, 824, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 790, 824, 720 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 237, 790, 824, 720. So, keep reading to learn more.
Given numbers are 237,790,824,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,790,824,720 is 5858640.
Find LCM of 237,790,824,720 with Prime Factorization
| 2 | 237, 790, 824, 720 |
| 2 | 237, 395, 412, 360 |
| 2 | 237, 395, 206, 180 |
| 3 | 237, 395, 103, 90 |
| 5 | 79, 395, 103, 30 |
| 79 | 79, 79, 103, 6 |
| 1, 1, 103, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 79 x 1 x 1 x 103 x 6 = 5858640
Therefore, the lowest common multiple of 237,790,824,720 is 5858640.
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.
237 x 790 x 824 x 720 = 111079814400
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.
237 : 1, 3, 79, 237
790 : 1, 2, 5, 10, 79, 158, 395, 790
824 : 1, 2, 4, 8, 103, 206, 412, 824
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,790,824,720, is 1.
Now, the common factors can be found like this.
237:3x 79
790:2x 5x 79
824:2x 2x 2x 103
720:2x 2x 2x 2x 3x 3x 5
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 3x 5x 79 = 18960
Therefore, the value for common factors is 18960.
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 = 111079814400/(1x18960)
LCM = 111079814400/18960
LCM = 5858640
Thus, we can understand that the LCM of 237,790,824,720 is 5858640.
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FAQs on LCM of 237, 790, 824, 720
1. What is the LCM of 237, 790, 824, 720?
Answer: LCM of 237, 790, 824, 720 is 5858640.
2. How to calculate the LCM of 237, 790, 824, 720?
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 237, 790, 824, 720.
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}.