LCM of 101, 621, 808, 351, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 101, 621, 808, 351, 891 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 101, 621, 808, 351, 891. So, keep reading to learn more.
Given numbers are 101,621,808,351,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,621,808,351,891 is 215258472.
Find LCM of 101,621,808,351,891 with Prime Factorization
| 3 | 101, 621, 808, 351, 891 |
| 3 | 101, 207, 808, 117, 297 |
| 3 | 101, 69, 808, 39, 99 |
| 101 | 101, 23, 808, 13, 33 |
| 1, 23, 8, 13, 33 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 101 x 1 x 23 x 8 x 13 x 33 = 215258472
Therefore, the lowest common multiple of 101,621,808,351,891 is 215258472.
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.
101 x 621 x 808 x 351 x 891 = 15849266034888
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.
101 : 1, 101
621 : 1, 3, 9, 23, 27, 69, 207, 621
808 : 1, 2, 4, 8, 101, 202, 404, 808
351 : 1, 3, 9, 13, 27, 39, 117, 351
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,621,808,351,891, is 1.
Now, the common factors can be found like this.
101:101
621:3x 3x 3x 23
808:2x 2x 2x 101
351:3x 3x 3x 13
891:3x 3x 3x 3x 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 3x 3x 3x 3x 3x 101 = 73629
Therefore, the value for common factors is 73629.
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 = 15849266034888/(1x73629)
LCM = 15849266034888/73629
LCM = 215258472
Thus, we can understand that the LCM of 101,621,808,351,891 is 215258472.
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FAQs on LCM of 101, 621, 808, 351, 891
1. What is the LCM of 101, 621, 808, 351, 891?
Answer: LCM of 101, 621, 808, 351, 891 is 215258472.
2. How to calculate the LCM of 101, 621, 808, 351, 891?
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 101, 621, 808, 351, 891.
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}.