LCM of 475, 200, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 475, 200, 109 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 475, 200, 109. So, keep reading to learn more.
Given numbers are 475,200,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 475,200,109 is 414200.
Find LCM of 475,200,109 with Prime Factorization
| 5 | 475, 200, 109 |
| 5 | 95, 40, 109 |
| 19, 8, 109 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 19 x 8 x 109 = 414200
Therefore, the lowest common multiple of 475,200,109 is 414200.
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.
475 x 200 x 109 = 10355000
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.
475 : 1, 5, 19, 25, 95, 475
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,200,109, is 1.
Now, the common factors can be found like this.
475:5x 5x 19
200:2x 2x 2x 5x 5
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 10355000/(1x25)
LCM = 10355000/25
LCM = 414200
Thus, we can understand that the LCM of 475,200,109 is 414200.
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FAQs on LCM of 475, 200, 109
1. What is the LCM of 475, 200, 109?
Answer: LCM of 475, 200, 109 is 414200.
2. How to calculate the LCM of 475, 200, 109?
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 475, 200, 109.
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}.