LCM of 585, 126, 283, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 126, 283, 901 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 585, 126, 283, 901. So, keep reading to learn more.
Given numbers are 585,126,283,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,126,283,901 is 2088310770.
Find LCM of 585,126,283,901 with Prime Factorization
| 3 | 585, 126, 283, 901 |
| 3 | 195, 42, 283, 901 |
| 65, 14, 283, 901 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 65 x 14 x 283 x 901 = 2088310770
Therefore, the lowest common multiple of 585,126,283,901 is 2088310770.
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.
585 x 126 x 283 x 901 = 18794796930
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
283 : 1, 283
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,126,283,901, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
126:2x 3x 3x 7
283:283
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 18794796930/(1x9)
LCM = 18794796930/9
LCM = 2088310770
Thus, we can understand that the LCM of 585,126,283,901 is 2088310770.
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FAQs on LCM of 585, 126, 283, 901
1. What is the LCM of 585, 126, 283, 901?
Answer: LCM of 585, 126, 283, 901 is 2088310770.
2. How to calculate the LCM of 585, 126, 283, 901?
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 585, 126, 283, 901.
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}.