LCM of 821, 905, 505, 202, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 905, 505, 202, 442 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 821, 905, 505, 202, 442. So, keep reading to learn more.
Given numbers are 821,905,505,202,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,905,505,202,442 is 33169229210.
Find LCM of 821,905,505,202,442 with Prime Factorization
| 2 | 821, 905, 505, 202, 442 |
| 5 | 821, 905, 505, 101, 221 |
| 101 | 821, 181, 101, 101, 221 |
| 821, 181, 1, 1, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 101 x 821 x 181 x 1 x 1 x 221 = 33169229210
Therefore, the lowest common multiple of 821,905,505,202,442 is 33169229210.
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.
821 x 905 x 505 x 202 x 442 = 33500921502100
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.
821 : 1, 821
905 : 1, 5, 181, 905
505 : 1, 5, 101, 505
202 : 1, 2, 101, 202
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,905,505,202,442, is 1.
Now, the common factors can be found like this.
821:821
905:5x 181
505:5x 101
202:2x 101
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 101 = 1010
Therefore, the value for common factors is 1010.
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 = 33500921502100/(1x1010)
LCM = 33500921502100/1010
LCM = 33169229210
Thus, we can understand that the LCM of 821,905,505,202,442 is 33169229210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 821, 905, 505, 202, 442
1. What is the LCM of 821, 905, 505, 202, 442?
Answer: LCM of 821, 905, 505, 202, 442 is 33169229210.
2. How to calculate the LCM of 821, 905, 505, 202, 442?
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 821, 905, 505, 202, 442.
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}.