LCM of 307, 972, 189, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 972, 189, 205 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 307, 972, 189, 205. So, keep reading to learn more.
Given numbers are 307,972,189,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,972,189,205 is 428209740.
Find LCM of 307,972,189,205 with Prime Factorization
| 3 | 307, 972, 189, 205 |
| 3 | 307, 324, 63, 205 |
| 3 | 307, 108, 21, 205 |
| 307, 36, 7, 205 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 307 x 36 x 7 x 205 = 428209740
Therefore, the lowest common multiple of 307,972,189,205 is 428209740.
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.
307 x 972 x 189 x 205 = 11561662980
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.
307 : 1, 307
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
189 : 1, 3, 7, 9, 21, 27, 63, 189
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,972,189,205, is 1.
Now, the common factors can be found like this.
307:307
972:2x 2x 3x 3x 3x 3x 3
189:3x 3x 3x 7
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 11561662980/(1x27)
LCM = 11561662980/27
LCM = 428209740
Thus, we can understand that the LCM of 307,972,189,205 is 428209740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 972, 189, 205
1. What is the LCM of 307, 972, 189, 205?
Answer: LCM of 307, 972, 189, 205 is 428209740.
2. How to calculate the LCM of 307, 972, 189, 205?
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 307, 972, 189, 205.
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}.