LCM of 107, 200, 280, 536, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 200, 280, 536, 189 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 107, 200, 280, 536, 189. So, keep reading to learn more.
Given numbers are 107,200,280,536,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,200,280,536,189 is 270988200.
Find LCM of 107,200,280,536,189 with Prime Factorization
| 2 | 107, 200, 280, 536, 189 |
| 2 | 107, 100, 140, 268, 189 |
| 2 | 107, 50, 70, 134, 189 |
| 5 | 107, 25, 35, 67, 189 |
| 7 | 107, 5, 7, 67, 189 |
| 107, 5, 1, 67, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 107 x 5 x 1 x 67 x 27 = 270988200
Therefore, the lowest common multiple of 107,200,280,536,189 is 270988200.
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.
107 x 200 x 280 x 536 x 189 = 607013568000
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.
107 : 1, 107
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
536 : 1, 2, 4, 8, 67, 134, 268, 536
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,200,280,536,189, is 1.
Now, the common factors can be found like this.
107:107
200:2x 2x 2x 5x 5
280:2x 2x 2x 5x 7
536:2x 2x 2x 67
189:3x 3x 3x 7
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 2x 5x 7 = 2240
Therefore, the value for common factors is 2240.
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 = 607013568000/(1x2240)
LCM = 607013568000/2240
LCM = 270988200
Thus, we can understand that the LCM of 107,200,280,536,189 is 270988200.
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FAQs on LCM of 107, 200, 280, 536, 189
1. What is the LCM of 107, 200, 280, 536, 189?
Answer: LCM of 107, 200, 280, 536, 189 is 270988200.
2. How to calculate the LCM of 107, 200, 280, 536, 189?
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 107, 200, 280, 536, 189.
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}.