LCM of 375, 945, 381, 185
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 945, 381, 185 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 375, 945, 381, 185. So, keep reading to learn more.
Given numbers are 375,945,381,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,945,381,185 is 111013875.
Find LCM of 375,945,381,185 with Prime Factorization
| 3 | 375, 945, 381, 185 |
| 5 | 125, 315, 127, 185 |
| 25, 63, 127, 37 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 25 x 63 x 127 x 37 = 111013875
Therefore, the lowest common multiple of 375,945,381,185 is 111013875.
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.
375 x 945 x 381 x 185 = 24978121875
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
381 : 1, 3, 127, 381
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,945,381,185, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
945:3x 3x 3x 5x 7
381:3x 127
185:5x 37
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 24978121875/(1x225)
LCM = 24978121875/225
LCM = 111013875
Thus, we can understand that the LCM of 375,945,381,185 is 111013875.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 375, 945, 381, 185
1. What is the LCM of 375, 945, 381, 185?
Answer: LCM of 375, 945, 381, 185 is 111013875.
2. How to calculate the LCM of 375, 945, 381, 185?
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 375, 945, 381, 185.
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}.