LCM of 685, 209, 380, 484, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 209, 380, 484, 352 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 685, 209, 380, 484, 352. So, keep reading to learn more.
Given numbers are 685,209,380,484,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,209,380,484,352 is 50394080.
Find LCM of 685,209,380,484,352 with Prime Factorization
| 2 | 685, 209, 380, 484, 352 |
| 2 | 685, 209, 190, 242, 176 |
| 5 | 685, 209, 95, 121, 88 |
| 11 | 137, 209, 19, 121, 88 |
| 19 | 137, 19, 19, 11, 8 |
| 137, 1, 1, 11, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 19 x 137 x 1 x 1 x 11 x 8 = 50394080
Therefore, the lowest common multiple of 685,209,380,484,352 is 50394080.
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.
685 x 209 x 380 x 484 x 352 = 9268479193600
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.
685 : 1, 5, 137, 685
209 : 1, 11, 19, 209
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,209,380,484,352, is 1.
Now, the common factors can be found like this.
685:5x 137
209:11x 19
380:2x 2x 5x 19
484:2x 2x 11x 11
352:2x 2x 2x 2x 2x 11
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 11x 11x 19 = 183920
Therefore, the value for common factors is 183920.
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 = 9268479193600/(1x183920)
LCM = 9268479193600/183920
LCM = 50394080
Thus, we can understand that the LCM of 685,209,380,484,352 is 50394080.
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FAQs on LCM of 685, 209, 380, 484, 352
1. What is the LCM of 685, 209, 380, 484, 352?
Answer: LCM of 685, 209, 380, 484, 352 is 50394080.
2. How to calculate the LCM of 685, 209, 380, 484, 352?
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 685, 209, 380, 484, 352.
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}.