LCM of 680, 629, 703, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 680, 629, 703, 380 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 680, 629, 703, 380. So, keep reading to learn more.
Given numbers are 680,629,703,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,629,703,380 is 478040.
Find LCM of 680,629,703,380 with Prime Factorization
| 2 | 680, 629, 703, 380 |
| 2 | 340, 629, 703, 190 |
| 5 | 170, 629, 703, 95 |
| 17 | 34, 629, 703, 19 |
| 19 | 2, 37, 703, 19 |
| 37 | 2, 37, 37, 1 |
| 2, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 19 x 37 x 2 x 1 x 1 x 1 = 478040
Therefore, the lowest common multiple of 680,629,703,380 is 478040.
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.
680 x 629 x 703 x 380 = 114261120800
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
629 : 1, 17, 37, 629
703 : 1, 19, 37, 703
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,629,703,380, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
629:17x 37
703:19x 37
380:2x 2x 5x 19
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 5x 17x 19x 37 = 239020
Therefore, the value for common factors is 239020.
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 = 114261120800/(1x239020)
LCM = 114261120800/239020
LCM = 478040
Thus, we can understand that the LCM of 680,629,703,380 is 478040.
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FAQs on LCM of 680, 629, 703, 380
1. What is the LCM of 680, 629, 703, 380?
Answer: LCM of 680, 629, 703, 380 is 478040.
2. How to calculate the LCM of 680, 629, 703, 380?
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 680, 629, 703, 380.
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}.