LCM of 379, 200, 192, 209, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 200, 192, 209, 220 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 379, 200, 192, 209, 220. So, keep reading to learn more.
Given numbers are 379,200,192,209,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,200,192,209,220 is 380212800.
Find LCM of 379,200,192,209,220 with Prime Factorization
| 2 | 379, 200, 192, 209, 220 |
| 2 | 379, 100, 96, 209, 110 |
| 2 | 379, 50, 48, 209, 55 |
| 5 | 379, 25, 24, 209, 55 |
| 11 | 379, 5, 24, 209, 11 |
| 379, 5, 24, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 379 x 5 x 24 x 19 x 1 = 380212800
Therefore, the lowest common multiple of 379,200,192,209,220 is 380212800.
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.
379 x 200 x 192 x 209 x 220 = 669174528000
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.
379 : 1, 379
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
209 : 1, 11, 19, 209
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,200,192,209,220, is 1.
Now, the common factors can be found like this.
379:379
200:2x 2x 2x 5x 5
192:2x 2x 2x 2x 2x 2x 3
209:11x 19
220:2x 2x 5x 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 2x 5x 11 = 1760
Therefore, the value for common factors is 1760.
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 = 669174528000/(1x1760)
LCM = 669174528000/1760
LCM = 380212800
Thus, we can understand that the LCM of 379,200,192,209,220 is 380212800.
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FAQs on LCM of 379, 200, 192, 209, 220
1. What is the LCM of 379, 200, 192, 209, 220?
Answer: LCM of 379, 200, 192, 209, 220 is 380212800.
2. How to calculate the LCM of 379, 200, 192, 209, 220?
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 379, 200, 192, 209, 220.
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}.