LCM of 373, 663, 481, 400, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 663, 481, 400, 680 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 373, 663, 481, 400, 680. So, keep reading to learn more.
Given numbers are 373,663,481,400,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,663,481,400,680 is 3660025200.
Find LCM of 373,663,481,400,680 with Prime Factorization
| 2 | 373, 663, 481, 400, 680 |
| 2 | 373, 663, 481, 200, 340 |
| 2 | 373, 663, 481, 100, 170 |
| 5 | 373, 663, 481, 50, 85 |
| 13 | 373, 663, 481, 10, 17 |
| 17 | 373, 51, 37, 10, 17 |
| 373, 3, 37, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 17 x 373 x 3 x 37 x 10 x 1 = 3660025200
Therefore, the lowest common multiple of 373,663,481,400,680 is 3660025200.
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.
373 x 663 x 481 x 400 x 680 = 32354622768000
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.
373 : 1, 373
663 : 1, 3, 13, 17, 39, 51, 221, 663
481 : 1, 13, 37, 481
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,663,481,400,680, is 1.
Now, the common factors can be found like this.
373:373
663:3x 13x 17
481:13x 37
400:2x 2x 2x 2x 5x 5
680:2x 2x 2x 5x 17
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 5x 13x 17 = 8840
Therefore, the value for common factors is 8840.
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 = 32354622768000/(1x8840)
LCM = 32354622768000/8840
LCM = 3660025200
Thus, we can understand that the LCM of 373,663,481,400,680 is 3660025200.
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FAQs on LCM of 373, 663, 481, 400, 680
1. What is the LCM of 373, 663, 481, 400, 680?
Answer: LCM of 373, 663, 481, 400, 680 is 3660025200.
2. How to calculate the LCM of 373, 663, 481, 400, 680?
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 373, 663, 481, 400, 680.
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}.