LCM of 310, 720, 400, 522, 701
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 720, 400, 522, 701 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 310, 720, 400, 522, 701. So, keep reading to learn more.
Given numbers are 310,720,400,522,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,720,400,522,701 is 2268716400.
Find LCM of 310,720,400,522,701 with Prime Factorization
| 2 | 310, 720, 400, 522, 701 |
| 2 | 155, 360, 200, 261, 701 |
| 2 | 155, 180, 100, 261, 701 |
| 2 | 155, 90, 50, 261, 701 |
| 3 | 155, 45, 25, 261, 701 |
| 3 | 155, 15, 25, 87, 701 |
| 5 | 155, 5, 25, 29, 701 |
| 31, 1, 5, 29, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 31 x 1 x 5 x 29 x 701 = 2268716400
Therefore, the lowest common multiple of 310,720,400,522,701 is 2268716400.
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.
310 x 720 x 400 x 522 x 701 = 32669516160000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
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
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,720,400,522,701, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
720:2x 2x 2x 2x 3x 3x 5
400:2x 2x 2x 2x 5x 5
522:2x 3x 3x 29
701:701
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 2x 3x 3x 5x 5 = 14400
Therefore, the value for common factors is 14400.
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 = 32669516160000/(1x14400)
LCM = 32669516160000/14400
LCM = 2268716400
Thus, we can understand that the LCM of 310,720,400,522,701 is 2268716400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 720, 400, 522, 701
1. What is the LCM of 310, 720, 400, 522, 701?
Answer: LCM of 310, 720, 400, 522, 701 is 2268716400.
2. How to calculate the LCM of 310, 720, 400, 522, 701?
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 310, 720, 400, 522, 701.
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}.