LCM of 387, 379, 442, 923, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 379, 442, 923, 170 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 387, 379, 442, 923, 170. So, keep reading to learn more.
Given numbers are 387,379,442,923,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,379,442,923,170 is 23014460430.
Find LCM of 387,379,442,923,170 with Prime Factorization
| 2 | 387, 379, 442, 923, 170 |
| 13 | 387, 379, 221, 923, 85 |
| 17 | 387, 379, 17, 71, 85 |
| 387, 379, 1, 71, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 387 x 379 x 1 x 71 x 5 = 23014460430
Therefore, the lowest common multiple of 387,379,442,923,170 is 23014460430.
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.
387 x 379 x 442 x 923 x 170 = 10172391510060
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.
387 : 1, 3, 9, 43, 129, 387
379 : 1, 379
442 : 1, 2, 13, 17, 26, 34, 221, 442
923 : 1, 13, 71, 923
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,379,442,923,170, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
379:379
442:2x 13x 17
923:13x 71
170:2x 5x 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 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 10172391510060/(1x442)
LCM = 10172391510060/442
LCM = 23014460430
Thus, we can understand that the LCM of 387,379,442,923,170 is 23014460430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 387, 379, 442, 923, 170
1. What is the LCM of 387, 379, 442, 923, 170?
Answer: LCM of 387, 379, 442, 923, 170 is 23014460430.
2. How to calculate the LCM of 387, 379, 442, 923, 170?
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 387, 379, 442, 923, 170.
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}.