LCM of 965, 243, 378, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 243, 378, 318 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 965, 243, 378, 318. So, keep reading to learn more.
Given numbers are 965,243,378,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,243,378,318 is 173995290.
Find LCM of 965,243,378,318 with Prime Factorization
| 2 | 965, 243, 378, 318 |
| 3 | 965, 243, 189, 159 |
| 3 | 965, 81, 63, 53 |
| 3 | 965, 27, 21, 53 |
| 965, 9, 7, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 965 x 9 x 7 x 53 = 173995290
Therefore, the lowest common multiple of 965,243,378,318 is 173995290.
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.
965 x 243 x 378 x 318 = 28187236980
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.
965 : 1, 5, 193, 965
243 : 1, 3, 9, 27, 81, 243
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,243,378,318, is 1.
Now, the common factors can be found like this.
965:5x 193
243:3x 3x 3x 3x 3
378:2x 3x 3x 3x 7
318:2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 28187236980/(1x162)
LCM = 28187236980/162
LCM = 173995290
Thus, we can understand that the LCM of 965,243,378,318 is 173995290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 965, 243, 378, 318
1. What is the LCM of 965, 243, 378, 318?
Answer: LCM of 965, 243, 378, 318 is 173995290.
2. How to calculate the LCM of 965, 243, 378, 318?
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 965, 243, 378, 318.
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}.