LCM of 379, 300, 642, 198, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 300, 642, 198, 214 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, 300, 642, 198, 214. So, keep reading to learn more.
Given numbers are 379,300,642,198,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,300,642,198,214 is 401474700.
Find LCM of 379,300,642,198,214 with Prime Factorization
| 2 | 379, 300, 642, 198, 214 |
| 3 | 379, 150, 321, 99, 107 |
| 107 | 379, 50, 107, 33, 107 |
| 379, 50, 1, 33, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 379 x 50 x 1 x 33 x 1 = 401474700
Therefore, the lowest common multiple of 379,300,642,198,214 is 401474700.
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 300 x 642 x 198 x 214 = 3092961088800
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
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
642 : 1, 2, 3, 6, 107, 214, 321, 642
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,300,642,198,214, is 1.
Now, the common factors can be found like this.
379:379
300:2x 2x 3x 5x 5
642:2x 3x 107
198:2x 3x 3x 11
214:2x 107
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 107 = 7704
Therefore, the value for common factors is 7704.
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 = 3092961088800/(1x7704)
LCM = 3092961088800/7704
LCM = 401474700
Thus, we can understand that the LCM of 379,300,642,198,214 is 401474700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 379, 300, 642, 198, 214
1. What is the LCM of 379, 300, 642, 198, 214?
Answer: LCM of 379, 300, 642, 198, 214 is 401474700.
2. How to calculate the LCM of 379, 300, 642, 198, 214?
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, 300, 642, 198, 214.
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}.