LCM of 505, 322, 808, 711, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 322, 808, 711, 141 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 505, 322, 808, 711, 141. So, keep reading to learn more.
Given numbers are 505,322,808,711,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,322,808,711,141 is 21735753480.
Find LCM of 505,322,808,711,141 with Prime Factorization
| 2 | 505, 322, 808, 711, 141 |
| 3 | 505, 161, 404, 711, 141 |
| 101 | 505, 161, 404, 237, 47 |
| 5, 161, 4, 237, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 5 x 161 x 4 x 237 x 47 = 21735753480
Therefore, the lowest common multiple of 505,322,808,711,141 is 21735753480.
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.
505 x 322 x 808 x 711 x 141 = 13171866608880
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.
505 : 1, 5, 101, 505
322 : 1, 2, 7, 14, 23, 46, 161, 322
808 : 1, 2, 4, 8, 101, 202, 404, 808
711 : 1, 3, 9, 79, 237, 711
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,322,808,711,141, is 1.
Now, the common factors can be found like this.
505:5x 101
322:2x 7x 23
808:2x 2x 2x 101
711:3x 3x 79
141:3x 47
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 101 = 606
Therefore, the value for common factors is 606.
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 = 13171866608880/(1x606)
LCM = 13171866608880/606
LCM = 21735753480
Thus, we can understand that the LCM of 505,322,808,711,141 is 21735753480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 505, 322, 808, 711, 141
1. What is the LCM of 505, 322, 808, 711, 141?
Answer: LCM of 505, 322, 808, 711, 141 is 21735753480.
2. How to calculate the LCM of 505, 322, 808, 711, 141?
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 505, 322, 808, 711, 141.
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}.