LCM of 285, 478, 957, 754, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 478, 957, 754, 909 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 285, 478, 957, 754, 909. So, keep reading to learn more.
Given numbers are 285,478,957,754,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,478,957,754,909 is 171178580430.
Find LCM of 285,478,957,754,909 with Prime Factorization
| 2 | 285, 478, 957, 754, 909 |
| 3 | 285, 239, 957, 377, 909 |
| 29 | 95, 239, 319, 377, 303 |
| 95, 239, 11, 13, 303 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 95 x 239 x 11 x 13 x 303 = 171178580430
Therefore, the lowest common multiple of 285,478,957,754,909 is 171178580430.
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.
285 x 478 x 957 x 754 x 909 = 89355218984460
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
478 : 1, 2, 239, 478
957 : 1, 3, 11, 29, 33, 87, 319, 957
754 : 1, 2, 13, 26, 29, 58, 377, 754
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,478,957,754,909, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
478:2x 239
957:3x 11x 29
754:2x 13x 29
909:3x 3x 101
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 29 = 522
Therefore, the value for common factors is 522.
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 = 89355218984460/(1x522)
LCM = 89355218984460/522
LCM = 171178580430
Thus, we can understand that the LCM of 285,478,957,754,909 is 171178580430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 285, 478, 957, 754, 909
1. What is the LCM of 285, 478, 957, 754, 909?
Answer: LCM of 285, 478, 957, 754, 909 is 171178580430.
2. How to calculate the LCM of 285, 478, 957, 754, 909?
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 285, 478, 957, 754, 909.
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}.