LCM of 745, 405, 275, 270, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 405, 275, 270, 954 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 745, 405, 275, 270, 954. So, keep reading to learn more.
Given numbers are 745,405,275,270,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,405,275,270,954 is 351811350.
Find LCM of 745,405,275,270,954 with Prime Factorization
| 2 | 745, 405, 275, 270, 954 |
| 3 | 745, 405, 275, 135, 477 |
| 3 | 745, 45, 275, 135, 159 |
| 3 | 745, 15, 275, 45, 53 |
| 5 | 745, 5, 275, 15, 53 |
| 149, 1, 55, 3, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 149 x 1 x 55 x 3 x 53 = 351811350
Therefore, the lowest common multiple of 745,405,275,270,954 is 351811350.
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.
745 x 405 x 275 x 270 x 954 = 21372539512500
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.
745 : 1, 5, 149, 745
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
275 : 1, 5, 11, 25, 55, 275
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,405,275,270,954, is 1.
Now, the common factors can be found like this.
745:5x 149
405:3x 3x 3x 3x 5
275:5x 5x 11
270:2x 3x 3x 3x 5
954:2x 3x 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 3x 3x 5x 5x 5 = 60750
Therefore, the value for common factors is 60750.
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 = 21372539512500/(1x60750)
LCM = 21372539512500/60750
LCM = 351811350
Thus, we can understand that the LCM of 745,405,275,270,954 is 351811350.
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FAQs on LCM of 745, 405, 275, 270, 954
1. What is the LCM of 745, 405, 275, 270, 954?
Answer: LCM of 745, 405, 275, 270, 954 is 351811350.
2. How to calculate the LCM of 745, 405, 275, 270, 954?
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 745, 405, 275, 270, 954.
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}.