LCM of 823, 827, 988, 462, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 823, 827, 988, 462, 420 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 823, 827, 988, 462, 420. So, keep reading to learn more.
Given numbers are 823,827,988,462,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,827,988,462,420 is 776683847940.
Find LCM of 823,827,988,462,420 with Prime Factorization
| 2 | 823, 827, 988, 462, 420 |
| 2 | 823, 827, 494, 231, 210 |
| 3 | 823, 827, 247, 231, 105 |
| 7 | 823, 827, 247, 77, 35 |
| 823, 827, 247, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 823 x 827 x 247 x 11 x 5 = 776683847940
Therefore, the lowest common multiple of 823,827,988,462,420 is 776683847940.
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.
823 x 827 x 988 x 462 x 420 = 130482886453920
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.
823 : 1, 823
827 : 1, 827
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,827,988,462,420, is 1.
Now, the common factors can be found like this.
823:823
827:827
988:2x 2x 13x 19
462:2x 3x 7x 11
420:2x 2x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 130482886453920/(1x168)
LCM = 130482886453920/168
LCM = 776683847940
Thus, we can understand that the LCM of 823,827,988,462,420 is 776683847940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 823, 827, 988, 462, 420
1. What is the LCM of 823, 827, 988, 462, 420?
Answer: LCM of 823, 827, 988, 462, 420 is 776683847940.
2. How to calculate the LCM of 823, 827, 988, 462, 420?
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 823, 827, 988, 462, 420.
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}.