LCM of 263, 620, 720, 403, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 263, 620, 720, 403, 414 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 263, 620, 720, 403, 414. So, keep reading to learn more.
Given numbers are 263,620,720,403,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,620,720,403,414 is 1755177840.
Find LCM of 263,620,720,403,414 with Prime Factorization
| 2 | 263, 620, 720, 403, 414 |
| 2 | 263, 310, 360, 403, 207 |
| 3 | 263, 155, 180, 403, 207 |
| 3 | 263, 155, 60, 403, 69 |
| 5 | 263, 155, 20, 403, 23 |
| 31 | 263, 31, 4, 403, 23 |
| 263, 1, 4, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 31 x 263 x 1 x 4 x 13 x 23 = 1755177840
Therefore, the lowest common multiple of 263,620,720,403,414 is 1755177840.
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.
263 x 620 x 720 x 403 x 414 = 19587784694400
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.
263 : 1, 263
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
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
403 : 1, 13, 31, 403
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,620,720,403,414, is 1.
Now, the common factors can be found like this.
263:263
620:2x 2x 5x 31
720:2x 2x 2x 2x 3x 3x 5
403:13x 31
414:2x 3x 3x 23
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 3x 3x 5x 31 = 11160
Therefore, the value for common factors is 11160.
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 = 19587784694400/(1x11160)
LCM = 19587784694400/11160
LCM = 1755177840
Thus, we can understand that the LCM of 263,620,720,403,414 is 1755177840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 263, 620, 720, 403, 414
1. What is the LCM of 263, 620, 720, 403, 414?
Answer: LCM of 263, 620, 720, 403, 414 is 1755177840.
2. How to calculate the LCM of 263, 620, 720, 403, 414?
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 263, 620, 720, 403, 414.
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}.