LCM of 473, 540, 905, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 540, 905, 165 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 473, 540, 905, 165. So, keep reading to learn more.
Given numbers are 473,540,905,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,540,905,165 is 46231020.
Find LCM of 473,540,905,165 with Prime Factorization
| 3 | 473, 540, 905, 165 |
| 5 | 473, 180, 905, 55 |
| 11 | 473, 36, 181, 11 |
| 43, 36, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 43 x 36 x 181 x 1 = 46231020
Therefore, the lowest common multiple of 473,540,905,165 is 46231020.
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.
473 x 540 x 905 x 165 = 38140591500
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.
473 : 1, 11, 43, 473
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
905 : 1, 5, 181, 905
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,540,905,165, is 1.
Now, the common factors can be found like this.
473:11x 43
540:2x 2x 3x 3x 3x 5
905:5x 181
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 11 = 825
Therefore, the value for common factors is 825.
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 = 38140591500/(1x825)
LCM = 38140591500/825
LCM = 46231020
Thus, we can understand that the LCM of 473,540,905,165 is 46231020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 473, 540, 905, 165
1. What is the LCM of 473, 540, 905, 165?
Answer: LCM of 473, 540, 905, 165 is 46231020.
2. How to calculate the LCM of 473, 540, 905, 165?
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 473, 540, 905, 165.
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}.