LCM of 683, 686, 470, 564, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 683, 686, 470, 564, 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 683, 686, 470, 564, 380. So, keep reading to learn more.
Given numbers are 683,686,470,564,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,686,470,564,380 is 12552133020.
Find LCM of 683,686,470,564,380 with Prime Factorization
| 2 | 683, 686, 470, 564, 380 |
| 2 | 683, 343, 235, 282, 190 |
| 5 | 683, 343, 235, 141, 95 |
| 47 | 683, 343, 47, 141, 19 |
| 683, 343, 1, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 683 x 343 x 1 x 3 x 19 = 12552133020
Therefore, the lowest common multiple of 683,686,470,564,380 is 12552133020.
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.
683 x 686 x 470 x 564 x 380 = 47196020155200
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.
683 : 1, 683
686 : 1, 2, 7, 14, 49, 98, 343, 686
470 : 1, 2, 5, 10, 47, 94, 235, 470
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
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 683,686,470,564,380, is 1.
Now, the common factors can be found like this.
683:683
686:2x 7x 7x 7
470:2x 5x 47
564:2x 2x 3x 47
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 2x 2x 5x 47 = 3760
Therefore, the value for common factors is 3760.
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 = 47196020155200/(1x3760)
LCM = 47196020155200/3760
LCM = 12552133020
Thus, we can understand that the LCM of 683,686,470,564,380 is 12552133020.
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FAQs on LCM of 683, 686, 470, 564, 380
1. What is the LCM of 683, 686, 470, 564, 380?
Answer: LCM of 683, 686, 470, 564, 380 is 12552133020.
2. How to calculate the LCM of 683, 686, 470, 564, 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 683, 686, 470, 564, 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}.