LCM of 741, 225, 238, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 225, 238, 765 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 741, 225, 238, 765. So, keep reading to learn more.
Given numbers are 741,225,238,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,225,238,765 is 13226850.
Find LCM of 741,225,238,765 with Prime Factorization
| 3 | 741, 225, 238, 765 |
| 3 | 247, 75, 238, 255 |
| 5 | 247, 25, 238, 85 |
| 17 | 247, 5, 238, 17 |
| 247, 5, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 17 x 247 x 5 x 14 x 1 = 13226850
Therefore, the lowest common multiple of 741,225,238,765 is 13226850.
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.
741 x 225 x 238 x 765 = 30355620750
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
238 : 1, 2, 7, 14, 17, 34, 119, 238
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,225,238,765, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
225:3x 3x 5x 5
238:2x 7x 17
765:3x 3x 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.
3x 3x 3x 5x 17 = 2295
Therefore, the value for common factors is 2295.
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 = 30355620750/(1x2295)
LCM = 30355620750/2295
LCM = 13226850
Thus, we can understand that the LCM of 741,225,238,765 is 13226850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 225, 238, 765
1. What is the LCM of 741, 225, 238, 765?
Answer: LCM of 741, 225, 238, 765 is 13226850.
2. How to calculate the LCM of 741, 225, 238, 765?
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 741, 225, 238, 765.
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}.