LCM of 905, 406, 504, 841
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 406, 504, 841 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 905, 406, 504, 841. So, keep reading to learn more.
Given numbers are 905,406,504,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,406,504,841 is 383596920.
Find LCM of 905,406,504,841 with Prime Factorization
| 2 | 905, 406, 504, 841 |
| 7 | 905, 203, 252, 841 |
| 29 | 905, 29, 36, 841 |
| 905, 1, 36, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 905 x 1 x 36 x 29 = 383596920
Therefore, the lowest common multiple of 905,406,504,841 is 383596920.
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.
905 x 406 x 504 x 841 = 155740349520
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.
905 : 1, 5, 181, 905
406 : 1, 2, 7, 14, 29, 58, 203, 406
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,406,504,841, is 1.
Now, the common factors can be found like this.
905:5x 181
406:2x 7x 29
504:2x 2x 2x 3x 3x 7
841:29x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 29 = 406
Therefore, the value for common factors is 406.
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 = 155740349520/(1x406)
LCM = 155740349520/406
LCM = 383596920
Thus, we can understand that the LCM of 905,406,504,841 is 383596920.
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FAQs on LCM of 905, 406, 504, 841
1. What is the LCM of 905, 406, 504, 841?
Answer: LCM of 905, 406, 504, 841 is 383596920.
2. How to calculate the LCM of 905, 406, 504, 841?
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 905, 406, 504, 841.
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}.