LCM of 606, 204, 150, 111, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 204, 150, 111, 748 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 606, 204, 150, 111, 748. So, keep reading to learn more.
Given numbers are 606,204,150,111,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,204,150,111,748 is 209645700.
Find LCM of 606,204,150,111,748 with Prime Factorization
| 2 | 606, 204, 150, 111, 748 |
| 2 | 303, 102, 75, 111, 374 |
| 3 | 303, 51, 75, 111, 187 |
| 17 | 101, 17, 25, 37, 187 |
| 101, 1, 25, 37, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 101 x 1 x 25 x 37 x 11 = 209645700
Therefore, the lowest common multiple of 606,204,150,111,748 is 209645700.
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.
606 x 204 x 150 x 111 x 748 = 1539638020800
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
111 : 1, 3, 37, 111
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,204,150,111,748, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
204:2x 2x 3x 17
150:2x 3x 5x 5
111:3x 37
748:2x 2x 11x 17
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 3x 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 1539638020800/(1x7344)
LCM = 1539638020800/7344
LCM = 209645700
Thus, we can understand that the LCM of 606,204,150,111,748 is 209645700.
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FAQs on LCM of 606, 204, 150, 111, 748
1. What is the LCM of 606, 204, 150, 111, 748?
Answer: LCM of 606, 204, 150, 111, 748 is 209645700.
2. How to calculate the LCM of 606, 204, 150, 111, 748?
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 606, 204, 150, 111, 748.
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}.